4057500720 has 480 divisors, whose sum is σ = 16102969344. Its totient is φ = 826675200.

The previous prime is 4057500631. The next prime is 4057500731. The reversal of 4057500720 is 270057504.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8801290 + ... + 8801750.

Almost surely, 2^4057500720 is an apocalyptic number.

4057500720 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 4057500720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8051484672).

4057500720 is an abundant number, since it is smaller than the sum of its proper divisors (12045468624).

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

4057500720 is a wasteful number, since it uses less digits than its factorization.

4057500720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 4057500720 is about 63698.5142683878. The cubic root of 4057500720 is about 1594.9712844874.

The spelling of 4057500720 in words is "four billion, fifty-seven million, five hundred thousand, seven hundred twenty".