4057572640 has 144 divisors (see below), whose sum is σ = 10810195200. Its totient is φ = 1427289600.

The previous prime is 4057572637. The next prime is 4057572653. The reversal of 4057572640 is 462757504.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4057572593 and 4057572602.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1690161 + ... + 1692559.

It is an arithmetic number, because the mean of its divisors is an integer number (75070800).

Almost surely, 2^4057572640 is an apocalyptic number.

4057572640 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 4057572640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405097600).

4057572640 is an abundant number, since it is smaller than the sum of its proper divisors (6752622560).

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

4057572640 is a wasteful number, since it uses less digits than its factorization.

4057572640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 40.

The square root of 4057572640 is about 63699.0788002464. The cubic root of 4057572640 is about 1594.9807081585.

The spelling of 4057572640 in words is "four billion, fifty-seven million, five hundred seventy-two thousand, six hundred forty".