4057893840 has 960 divisors, whose sum is σ = 18238832640. Its totient is φ = 731566080.

The previous prime is 4057893839. The next prime is 4057893869. The reversal of 4057893840 is 483987504.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4057893840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31951857 + ... + 31951983.

It is an arithmetic number, because the mean of its divisors is an integer number (18998784).

Almost surely, 2^4057893840 is an apocalyptic number.

4057893840 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 4057893840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9119416320).

4057893840 is an abundant number, since it is smaller than the sum of its proper divisors (14180938800).

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

4057893840 is a wasteful number, since it uses less digits than its factorization.

4057893840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 4057893840 is about 63701.5999799063. The cubic root of 4057893840 is about 1595.0227936065.

The spelling of 4057893840 in words is "four billion, fifty-seven million, eight hundred ninety-three thousand, eight hundred forty".