4057053408 has 36 divisors (see below), whose sum is σ = 11537246448. Its totient is φ = 1352351040.

The previous prime is 4057053391. The next prime is 4057053431. The reversal of 4057053408 is 8043507504.

4057053408 is a `hidden beast` number, since 40 + 570 + 5 + 3 + 40 + 8 = 666.

4057053408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×4057053408³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7043208 + ... + 7043783.

It is an arithmetic number, because the mean of its divisors is an integer number (320479068).

Almost surely, 2^4057053408 is an apocalyptic number.

4057053408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4057053408 is an abundant number, since it is smaller than the sum of its proper divisors (7480193040).

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

4057053408 is a wasteful number, since it uses less digits than its factorization.

4057053408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14087007 (or 14086996 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4057053408 is about 63695.0030065154. The cubic root of 4057053408 is about 1594.9126707361.

The spelling of 4057053408 in words is "four billion, fifty-seven million, fifty-three thousand, four hundred eight".