4053624840 has 96 divisors (see below), whose sum is σ = 13949259480. Its totient is φ = 1017378816.

The previous prime is 4053624829. The next prime is 4053624877. The reversal of 4053624840 is 484263504.

4053624840 is a `hidden beast` number, since 40 + 536 + 2 + 4 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2735499204 + 1318125636 = 52302^2 + 36306^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4053624795 and 4053624804.

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, 325059 + ... + 337298.

Almost surely, 2^4053624840 is an apocalyptic number.

4053624840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4053624840 is an abundant number, since it is smaller than the sum of its proper divisors (9895634640).

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

4053624840 is a wasteful number, since it uses less digits than its factorization.

4053624840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662391 (or 662384 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4053624840 is about 63668.0833699272. The cubic root of 4053624840 is about 1594.4632634851.

The spelling of 4053624840 in words is "four billion, fifty-three million, six hundred twenty-four thousand, eight hundred forty".