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40420136252160 = 2832572414913557
BaseRepresentation
bin10010011000011000010111…
…10111001111001100000000
312022010010102210101222101100
421030030023313033030000
520244220414340032120
6221544430530134400
711341154441212200
oct1114141367171400
9168103383358340
1040420136252160
11119740a1188785
124649839a21400
1319727aa8a7bc2
149da4b8ab0400
154a16492e7490
hex24c30bdcf300

40420136252160 has 1296 divisors, whose sum is σ = 167036236147872. Its totient is φ = 8992663142400.

The previous prime is 40420136252147. The next prime is 40420136252173. The reversal of 40420136252160 is 6125263102404.

40420136252160 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 0 + 1 + 3 + 625 + 21 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40420136252147) and next prime (40420136252173).

It is a super-2 number, since 2×404201362521602 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11363545102 + ... + 11363548658.

It is an arithmetic number, because the mean of its divisors is an integer number (128885984682).

Almost surely, 240420136252160 is an apocalyptic number.

40420136252160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40420136252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83518118073936).

40420136252160 is an abundant number, since it is smaller than the sum of its proper divisors (126616099895712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40420136252160 is a wasteful number, since it uses less digits than its factorization.

40420136252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4130 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 40420136252160 its reverse (6125263102404), we get a palindrome (46545399354564).

The spelling of 40420136252160 in words is "forty trillion, four hundred twenty billion, one hundred thirty-six million, two hundred fifty-two thousand, one hundred sixty".