40757152320 has 280 divisors, whose sum is σ = 152612750400. Its totient is φ = 10296419328.

The previous prime is 40757152283. The next prime is 40757152327. The reversal of 40757152320 is 2325175704.

40757152320 is a `hidden beast` number, since 4 + 0 + 7 + 571 + 52 + 32 + 0 = 666.

It is a super-2 number, since 2×40757152320² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40757152327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 451101 + ... + 533859.

Almost surely, 2^40757152320 is an apocalyptic number.

40757152320 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 40757152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76306375200).

40757152320 is an abundant number, since it is smaller than the sum of its proper divisors (111855598080).

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

40757152320 is a wasteful number, since it uses less digits than its factorization.

40757152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82807 (or 82788 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 40757152320 in words is "forty billion, seven hundred fifty-seven million, one hundred fifty-two thousand, three hundred twenty".