40033733904144 has 60 divisors (see below), whose sum is σ = 112109008992396. Its totient is φ = 13336221862656.

The previous prime is 40033733904137. The next prime is 40033733904149. The reversal of 40033733904144 is 44140933733004.

40033733904144 is a `hidden beast` number, since 400 + 3 + 3 + 73 + 39 + 0 + 4 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12060339840000 + 27973394064144 = 3472800^2 + 5288988^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40033733904144.

It is not an unprimeable number, because it can be changed into a prime (40033733904149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86811999 + ... + 87271934.

Almost surely, 2^{40033733904144} is an apocalyptic number.

It is an amenable number.

40033733904144 is an abundant number, since it is smaller than the sum of its proper divisors (72075275088252).

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

40033733904144 is a wasteful number, since it uses less digits than its factorization.

40033733904144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174085544 (or 174085535 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 40033733904144 in words is "forty trillion, thirty-three billion, seven hundred thirty-three million, nine hundred four thousand, one hundred forty-four".