33540782939040 has 192 divisors, whose sum is σ = 115645913937792. Its totient is φ = 8120845209600.

The previous prime is 33540782938843. The next prime is 33540782939063. The reversal of 33540782939040 is 4093928704533.

It is a super-2 number, since 2×33540782939040² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43677766 + ... + 44439045.

It is an arithmetic number, because the mean of its divisors is an integer number (602322468426).

Almost surely, 2^{33540782939040} is an apocalyptic number.

33540782939040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33540782939040 is an abundant number, since it is smaller than the sum of its proper divisors (82105130998752).

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

33540782939040 is a wasteful number, since it uses less digits than its factorization.

33540782939040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88116903 (or 88116895 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 57.

The spelling of 33540782939040 in words is "thirty-three trillion, five hundred forty billion, seven hundred eighty-two million, nine hundred thirty-nine thousand, forty".