33040385645904 has 240 divisors, whose sum is σ = 114979032593152. Its totient is φ = 8624113016832.

The previous prime is 33040385645903. The next prime is 33040385645959. The reversal of 33040385645904 is 40954658304033.

33040385645904 is a `hidden beast` number, since 3 + 3 + 0 + 40 + 3 + 8 + 5 + 6 + 4 + 590 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33040385645903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11725804 + ... + 14267979.

Almost surely, 2^{33040385645904} is an apocalyptic number.

It is an amenable number.

33040385645904 is an abundant number, since it is smaller than the sum of its proper divisors (81938646947248).

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

33040385645904 is a wasteful number, since it uses less digits than its factorization.

33040385645904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25993914 (or 25993905 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 33040385645904 in words is "thirty-three trillion, forty billion, three hundred eighty-five million, six hundred forty-five thousand, nine hundred four".