361404063972000 has 1152 divisors, whose sum is σ = 1518732965707776. Its totient is φ = 79646457600000.

The previous prime is 361404063971959. The next prime is 361404063972011. The reversal of 361404063972000 is 279360404163.

361404063972000 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 0 + 4 + 0 + 639 + 7 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×361404063972000² (a number of 30 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2116966645 + ... + 2117137355.

It is an arithmetic number, because the mean of its divisors is an integer number (1318344588288).

Almost surely, 2^{361404063972000} is an apocalyptic number.

361404063972000 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 361404063972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759366482853888).

361404063972000 is an abundant number, since it is smaller than the sum of its proper divisors (1157328901735776).

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

361404063972000 is a wasteful number, since it uses less digits than its factorization.

361404063972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171051 (or 171030 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 361404063972000 in words is "three hundred sixty-one trillion, four hundred four billion, sixty-three million, nine hundred seventy-two thousand".