34057753567040 has 112 divisors (see below), whose sum is σ = 95675606529024. Its totient is φ = 11300268441600.

The previous prime is 34057753567039. The next prime is 34057753567121. The reversal of 34057753567040 is 4076535775043.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245162081 + ... + 245300960.

Almost surely, 2^{34057753567040} is an apocalyptic number.

It is an amenable number.

34057753567040 is an abundant number, since it is smaller than the sum of its proper divisors (61617852961984).

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

34057753567040 is a wasteful number, since it uses less digits than its factorization.

34057753567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490463096 (or 490463086 counting only the distinct ones).

The product of its (nonzero) digits is 37044000, while the sum is 56.

The spelling of 34057753567040 in words is "thirty-four trillion, fifty-seven billion, seven hundred fifty-three million, five hundred sixty-seven thousand, forty".