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40401140040 = 23335294792693
BaseRepresentation
bin100101101000000110…
…000111100101001000
310212021121212120012000
4211220012013211020
51130220142440130
630320544351000
72630115011202
oct455006074510
9125247776160
1040401140040
1116152432538
1279b6315460
133a6b202a31
141d5398b772
1510b6d23260
hex968187948

40401140040 has 256 divisors, whose sum is σ = 139656960000. Its totient is φ = 10376561664.

The previous prime is 40401139943. The next prime is 40401140041. The reversal of 40401140040 is 4004110404.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40401139995 and 40401140022.

It is not an unprimeable number, because it can be changed into a prime (40401140041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15000934 + ... + 15003626.

It is an arithmetic number, because the mean of its divisors is an integer number (545535000).

Almost surely, 240401140040 is an apocalyptic number.

40401140040 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 40401140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69828480000).

40401140040 is an abundant number, since it is smaller than the sum of its proper divisors (99255819960).

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

40401140040 is a wasteful number, since it uses less digits than its factorization.

40401140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3221 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 40401140040 its reverse (4004110404), we get a palindrome (44405250444).

The spelling of 40401140040 in words is "forty billion, four hundred one million, one hundred forty thousand, forty".