375045134464000 has 5632 divisors, whose sum is σ = 1384370130124800. Its totient is φ = 99709747200000.

The previous prime is 375045134463947. The next prime is 375045134464073. The reversal of 375045134464000 is 464431540573.

It is a tau number, because it is divible by the number of its divisors (5632).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 7979683711977 + ... + 7979683712023.

Almost surely, 2^{375045134464000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 375045134464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692185065062400).

375045134464000 is an abundant number, since it is smaller than the sum of its proper divisors (1009324995660800).

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

375045134464000 is a wasteful number, since it uses less digits than its factorization.

375045134464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 46.

The spelling of 375045134464000 in words is "three hundred seventy-five trillion, forty-five billion, one hundred thirty-four million, four hundred sixty-four thousand".