40032772560 has 960 divisors, whose sum is σ = 160983029760. Its totient is φ = 9237888000.

The previous prime is 40032772477. The next prime is 40032772583. The reversal of 40032772560 is 6527723004.

It is a happy number.

40032772560 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 27 + 72 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 656274930 + ... + 656274990.

It is an arithmetic number, because the mean of its divisors is an integer number (167690656).

Almost surely, 2^40032772560 is an apocalyptic number.

40032772560 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 40032772560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80491514880).

40032772560 is an abundant number, since it is smaller than the sum of its proper divisors (120950257200).

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

40032772560 is a wasteful number, since it uses less digits than its factorization.

40032772560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 40032772560 in words is "forty billion, thirty-two million, seven hundred seventy-two thousand, five hundred sixty".