4057694400 has 168 divisors, whose sum is σ = 13432225104. Its totient is φ = 1072332800.

The previous prime is 4057694393. The next prime is 4057694411. The reversal of 4057694400 is 44967504.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538660 + ... + 546140.

Almost surely, 2^4057694400 is an apocalyptic number.

4057694400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4057694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6716112552).

4057694400 is an abundant number, since it is smaller than the sum of its proper divisors (9374530704).

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

4057694400 is a wasteful number, since it uses less digits than its factorization.

4057694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7619 (or 7604 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 4057694400 is about 63700.0345368823. The cubic root of 4057694400 is about 1594.9966621065.

The spelling of 4057694400 in words is "four billion, fifty-seven million, six hundred ninety-four thousand, four hundred".