4315705920 has 560 divisors, whose sum is σ = 16357372416. Its totient is φ = 1078272000.

The previous prime is 4315705909. The next prime is 4315705949. The reversal of 4315705920 is 295075134.

4315705920 is a `hidden beast` number, since 4 + 31 + 570 + 59 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32944255 + ... + 32944385.

Almost surely, 2^4315705920 is an apocalyptic number.

4315705920 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 4315705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8178686208).

4315705920 is an abundant number, since it is smaller than the sum of its proper divisors (12041666496).

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

4315705920 is a wasteful number, since it uses less digits than its factorization.

4315705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 4315705920 is about 65694.0326057093. The cubic root of 4315705920 is about 1628.1107648398.

The spelling of 4315705920 in words is "four billion, three hundred fifteen million, seven hundred five thousand, nine hundred twenty".