40574600352 has 336 divisors, whose sum is σ = 140716947168. Its totient is φ = 11348605440.

The previous prime is 40574600329. The next prime is 40574600399. The reversal of 40574600352 is 25300647504.

40574600352 is a `hidden beast` number, since 40 + 5 + 7 + 4 + 600 + 3 + 5 + 2 = 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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3329823 + ... + 3341985.

It is an arithmetic number, because the mean of its divisors is an integer number (418800438).

Almost surely, 2^40574600352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40574600352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70358473584).

40574600352 is an abundant number, since it is smaller than the sum of its proper divisors (100142346816).

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

40574600352 is a wasteful number, since it uses less digits than its factorization.

40574600352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12215 (or 12192 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 40574600352 in words is "forty billion, five hundred seventy-four million, six hundred thousand, three hundred fifty-two".