40237900560 has 960 divisors, whose sum is σ = 170159109120. Its totient is φ = 8375685120.

The previous prime is 40237900543. The next prime is 40237900603. The reversal of 40237900560 is 6500973204.

40237900560 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 7 + 90 + 0 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 131067927 + ... + 131068233.

It is an arithmetic number, because the mean of its divisors is an integer number (177249072).

Almost surely, 2^40237900560 is an apocalyptic number.

40237900560 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 40237900560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85079554560).

40237900560 is an abundant number, since it is smaller than the sum of its proper divisors (129921208560).

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

40237900560 is a wasteful number, since it uses less digits than its factorization.

40237900560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 40237900560 in words is "forty billion, two hundred thirty-seven million, nine hundred thousand, five hundred sixty".