4172882560 has 384 divisors, whose sum is σ = 13257095040. Its totient is φ = 1219952640.

The previous prime is 4172882551. The next prime is 4172882573. The reversal of 4172882560 is 652882714.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14241774 + ... + 14242066.

It is an arithmetic number, because the mean of its divisors is an integer number (34523685).

Almost surely, 2^4172882560 is an apocalyptic number.

4172882560 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 4172882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6628547520).

4172882560 is an abundant number, since it is smaller than the sum of its proper divisors (9084212480).

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

4172882560 is a wasteful number, since it uses less digits than its factorization.

4172882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 4172882560 is about 64597.8525958874. The cubic root of 4172882560 is about 1609.9487606341.

The spelling of 4172882560 in words is "four billion, one hundred seventy-two million, eight hundred eighty-two thousand, five hundred sixty".