361405895904 has 240 divisors, whose sum is σ = 1096680150720. Its totient is φ = 116695987200.

The previous prime is 361405895891. The next prime is 361405895927. The reversal of 361405895904 is 409598504163.

361405895904 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 0 + 589 + 59 + 0 + 4 = 666.

It is a super-2 number, since 2×361405895904² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10836054 + ... + 10869354.

It is an arithmetic number, because the mean of its divisors is an integer number (4569500628).

Almost surely, 2^361405895904 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 361405895904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548340075360).

361405895904 is an abundant number, since it is smaller than the sum of its proper divisors (735274254816).

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

361405895904 is a wasteful number, since it uses less digits than its factorization.

361405895904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33455 (or 33438 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 361405895904 in words is "three hundred sixty-one billion, four hundred five million, eight hundred ninety-five thousand, nine hundred four".