361353937701120 has 1728 divisors, whose sum is σ = 1479910105497600. Its totient is φ = 73500310241280.

The previous prime is 361353937701109. The next prime is 361353937701137. The reversal of 361353937701120 is 21107739353163.

It is a super-2 number, since 2×361353937701120² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37881737311 + ... + 37881746849.

It is an arithmetic number, because the mean of its divisors is an integer number (856429459200).

Almost surely, 2^{361353937701120} is an apocalyptic number.

361353937701120 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 361353937701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739955052748800).

361353937701120 is an abundant number, since it is smaller than the sum of its proper divisors (1118556167796480).

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

361353937701120 is a wasteful number, since it uses less digits than its factorization.

361353937701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9896 (or 9869 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 51.

The spelling of 361353937701120 in words is "three hundred sixty-one trillion, three hundred fifty-three billion, nine hundred thirty-seven million, seven hundred one thousand, one hundred twenty".