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40246778880 = 21033571119199
BaseRepresentation
bin100101011110111001…
…010001110000000000
310211212212102012111000
4211132321101300000
51124411133411010
630253352052000
72623231655520
oct453671216000
9124785365430
1040246778880
1116083291730
127972694000
133a45237a79
141d3b289680
1510a84d17c0
hex95ee51c00

40246778880 has 1408 divisors, whose sum is σ = 188651520000. Its totient is φ = 7882997760.

The previous prime is 40246778879. The next prime is 40246778881. The reversal of 40246778880 is 8887764204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40246778879) and next prime (40246778881).

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×402467788802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40246778881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 202245021 + ... + 202245219.

Almost surely, 240246778880 is an apocalyptic number.

40246778880 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 40246778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94325760000).

40246778880 is an abundant number, since it is smaller than the sum of its proper divisors (148404741120).

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

40246778880 is a wasteful number, since it uses less digits than its factorization.

40246778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 40246778880 in words is "forty billion, two hundred forty-six million, seven hundred seventy-eight thousand, eight hundred eighty".