4057326504 has 384 divisors, whose sum is σ = 14412518400. Its totient is φ = 1034985600.

The previous prime is 4057326499. The next prime is 4057326517. The reversal of 4057326504 is 4056237504.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12257619 + ... + 12257949.

It is an arithmetic number, because the mean of its divisors is an integer number (37532600).

Almost surely, 2^4057326504 is an apocalyptic number.

4057326504 is a gapful number since it is divisible by the number (44) 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 4057326504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7206259200).

4057326504 is an abundant number, since it is smaller than the sum of its proper divisors (10355191896).

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

4057326504 is a wasteful number, since it uses less digits than its factorization.

4057326504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 4057326504 is about 63697.1467492854. The cubic root of 4057326504 is about 1594.9484565191.

The spelling of 4057326504 in words is "four billion, fifty-seven million, three hundred twenty-six thousand, five hundred four".