361085405472 has 240 divisors, whose sum is σ = 1159293643200. Its totient is φ = 109343208960.

The previous prime is 361085405383. The next prime is 361085405477. The reversal of 361085405472 is 274504580163.

361085405472 is a `hidden beast` number, since 3 + 61 + 0 + 8 + 5 + 40 + 547 + 2 = 666.

It is a super-4 number, since 4×361085405472⁴ (a number of 47 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (361085405477) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 51004429 + ... + 51011507.

It is an arithmetic number, because the mean of its divisors is an integer number (4830390180).

Almost surely, 2^361085405472 is an apocalyptic number.

361085405472 is a gapful number since it is divisible by the number (32) 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 361085405472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579646821600).

361085405472 is an abundant number, since it is smaller than the sum of its proper divisors (798208237728).

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

361085405472 is a wasteful number, since it uses less digits than its factorization.

361085405472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8901 (or 8884 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 361085405472 in words is "three hundred sixty-one billion, eighty-five million, four hundred five thousand, four hundred seventy-two".