4159572480 has 320 divisors, whose sum is σ = 16887847680. Its totient is φ = 950648832.

The previous prime is 4159572451. The next prime is 4159572539. The reversal of 4159572480 is 842759514.

4159572480 is a `hidden beast` number, since 4 + 15 + 95 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479542 + ... + 488138.

It is an arithmetic number, because the mean of its divisors is an integer number (52774524).

Almost surely, 2^4159572480 is an apocalyptic number.

4159572480 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 4159572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8443923840).

4159572480 is an abundant number, since it is smaller than the sum of its proper divisors (12728275200).

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

4159572480 is an equidigital number, since it uses as much as digits as its factorization.

4159572480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8636 (or 8614 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 4159572480 is about 64494.7476931261. The cubic root of 4159572480 is about 1608.2352072957.

The spelling of 4159572480 in words is "four billion, one hundred fifty-nine million, five hundred seventy-two thousand, four hundred eighty".