361384090920 has 256 divisors, whose sum is σ = 1273805568000. Its totient is φ = 90985420800.

The previous prime is 361384090901. The next prime is 361384090967. The reversal of 361384090920 is 29090483163.

It is a happy number.

361384090920 is a `hidden beast` number, since 3 + 613 + 8 + 4 + 0 + 9 + 0 + 9 + 20 = 666.

It is a super-2 number, since 2×361384090920² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1241046 + ... + 1504314.

It is an arithmetic number, because the mean of its divisors is an integer number (4975803000).

Almost surely, 2^361384090920 is an apocalyptic number.

361384090920 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 361384090920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636902784000).

361384090920 is an abundant number, since it is smaller than the sum of its proper divisors (912421477080).

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

361384090920 is a wasteful number, since it uses less digits than its factorization.

361384090920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263361 (or 263351 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 361384090920 in words is "three hundred sixty-one billion, three hundred eighty-four million, ninety thousand, nine hundred twenty".