34056441441264 has 80 divisors (see below), whose sum is σ = 95978191645440. Its totient is φ = 10320031879680.

The previous prime is 34056441441251. The next prime is 34056441441289. The reversal of 34056441441264 is 46214414465043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66462324 + ... + 66972780.

It is an arithmetic number, because the mean of its divisors is an integer number (1199727395568).

Almost surely, 2^{34056441441264} is an apocalyptic number.

It is an amenable number.

34056441441264 is an abundant number, since it is smaller than the sum of its proper divisors (61921750204176).

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

34056441441264 is a wasteful number, since it uses less digits than its factorization.

34056441441264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636838 (or 636832 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 48.

The spelling of 34056441441264 in words is "thirty-four trillion, fifty-six billion, four hundred forty-one million, four hundred forty-one thousand, two hundred sixty-four".