4034166614304 has 96 divisors (see below), whose sum is σ = 11099661963264. Its totient is φ = 1280487901440.

The previous prime is 4034166614243. The next prime is 4034166614321.

It is a happy number.

4034166614304 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

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, 3604182 + ... + 4588949.

It is an arithmetic number, because the mean of its divisors is an integer number (115621478784).

Almost surely, 2^{4034166614304} is an apocalyptic number.

It is an amenable number.

4034166614304 is an abundant number, since it is smaller than the sum of its proper divisors (7065495348960).

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

4034166614304 is a wasteful number, since it uses less digits than its factorization.

4034166614304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8193390 (or 8193382 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 4034166614304 in words is "four trillion, thirty-four billion, one hundred sixty-six million, six hundred fourteen thousand, three hundred four".