4057893420 has 192 divisors, whose sum is σ = 13220444160. Its totient is φ = 910891008.

The previous prime is 4057893419. The next prime is 4057893443. The reversal of 4057893420 is 243987504.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6271537 + ... + 6272183.

It is an arithmetic number, because the mean of its divisors is an integer number (68856480).

Almost surely, 2^4057893420 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 4057893420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6610222080).

4057893420 is an abundant number, since it is smaller than the sum of its proper divisors (9162550740).

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

4057893420 is a wasteful number, since it uses less digits than its factorization.

4057893420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 4057893420 is about 63701.5966832857. The cubic root of 4057893420 is about 1595.0227385771.

The spelling of 4057893420 in words is "four billion, fifty-seven million, eight hundred ninety-three thousand, four hundred twenty".