4057794826176 has 448 divisors, whose sum is σ = 13658098728960. Its totient is φ = 1034298961920.

The previous prime is 4057794826159. The next prime is 4057794826247. The reversal of 4057794826176 is 6716284977504.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 447925135 + ... + 447934193.

It is an arithmetic number, because the mean of its divisors is an integer number (30486827520).

Almost surely, 2^{4057794826176} 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 4057794826176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829049364480).

4057794826176 is an abundant number, since it is smaller than the sum of its proper divisors (9600303902784).

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

4057794826176 is a wasteful number, since it uses less digits than its factorization.

4057794826176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9952 (or 9942 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 66.

The spelling of 4057794826176 in words is "four trillion, fifty-seven billion, seven hundred ninety-four million, eight hundred twenty-six thousand, one hundred seventy-six".