40507568640 has 1600 divisors, whose sum is σ = 188229381120. Its totient is φ = 8082063360.

The previous prime is 40507568551. The next prime is 40507568713. The reversal of 40507568640 is 4686570504.

40507568640 is a `hidden beast` number, since 40 + 5 + 0 + 7 + 568 + 6 + 40 = 666.

It is a super-2 number, since 2×40507568640² (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 159 ways as a sum of consecutive naturals, for example, 686568931 + ... + 686568989.

Almost surely, 2^40507568640 is an apocalyptic number.

40507568640 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 40507568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94114690560).

40507568640 is an abundant number, since it is smaller than the sum of its proper divisors (147721812480).

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

40507568640 is a wasteful number, since it uses less digits than its factorization.

40507568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 40507568640 in words is "forty billion, five hundred seven million, five hundred sixty-eight thousand, six hundred forty".