360431824272 has 240 divisors, whose sum is σ = 1096426609920. Its totient is φ = 101555970048.

The previous prime is 360431824241. The next prime is 360431824283. The reversal of 360431824272 is 272428134063.

It is a super-2 number, since 2×360431824272² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5067129 + ... + 5137767.

It is an arithmetic number, because the mean of its divisors is an integer number (4568444208).

Almost surely, 2^360431824272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360431824272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548213304960).

360431824272 is an abundant number, since it is smaller than the sum of its proper divisors (735994785648).

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

360431824272 is a wasteful number, since it uses less digits than its factorization.

360431824272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70730 (or 70711 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 360431824272 in words is "three hundred sixty billion, four hundred thirty-one million, eight hundred twenty-four thousand, two hundred seventy-two".