40035340074600 has 216 divisors, whose sum is σ = 145590055108290. Its totient is φ = 9854852866560.

The previous prime is 40035340074563. The next prime is 40035340074701. The reversal of 40035340074600 is 647004353004.

It is a happy number.

40035340074600 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 5 + 3 + 40 + 0 + 7 + 4 + 600 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 11471695236 + 40023868379364 = 107106^2 + 6326442^2 .

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 53 ways as a sum of consecutive naturals, for example, 65500107 + ... + 66108506.

Almost surely, 2^{40035340074600} is an apocalyptic number.

40035340074600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40035340074600 is an abundant number, since it is smaller than the sum of its proper divisors (105554715033690).

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

40035340074600 is a wasteful number, since it uses less digits than its factorization.

40035340074600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131608661 (or 131608636 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 40035340074600 in words is "forty trillion, thirty-five billion, three hundred forty million, seventy-four thousand, six hundred".