361274425920 has 168 divisors, whose sum is σ = 1243026078840. Its totient is φ = 96309411840.

The previous prime is 361274425907. The next prime is 361274425943. The reversal of 361274425920 is 29524472163.

361274425920 is a `hidden beast` number, since 3 + 6 + 12 + 7 + 4 + 42 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10630434816 + 350643991104 = 103104^2 + 592152^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 9972640 + ... + 10008800.

It is an arithmetic number, because the mean of its divisors is an integer number (7398964755).

Almost surely, 2^361274425920 is an apocalyptic number.

361274425920 is a gapful number since it is divisible by the number (30) 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 361274425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621513039420).

361274425920 is an abundant number, since it is smaller than the sum of its proper divisors (881751652920).

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

361274425920 is a wasteful number, since it uses less digits than its factorization.

361274425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39653 (or 39640 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 361274425920 in words is "three hundred sixty-one billion, two hundred seventy-four million, four hundred twenty-five thousand, nine hundred twenty".