40138882560 has 400 divisors, whose sum is σ = 164308563936. Its totient is φ = 9174269952.

The previous prime is 40138882549. The next prime is 40138882583. The reversal of 40138882560 is 6528883104.

40138882560 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 8 + 8 + 82 + 560 = 666.

It is a super-2 number, since 2×40138882560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1437694 + ... + 1465346.

Almost surely, 2^40138882560 is an apocalyptic number.

40138882560 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 40138882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82154281968).

40138882560 is an abundant number, since it is smaller than the sum of its proper divisors (124169681376).

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

40138882560 is an equidigital number, since it uses as much as digits as its factorization.

40138882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27695 (or 27670 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 40138882560 in words is "forty billion, one hundred thirty-eight million, eight hundred eighty-two thousand, five hundred sixty".