361405375613000 has 256 divisors, whose sum is σ = 880026373324800. Its totient is φ = 138768305760000.

The previous prime is 361405375612991. The next prime is 361405375613011. The reversal of 361405375613000 is 316573504163.

It is a super-2 number, since 2×361405375613000² (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 63 ways as a sum of consecutive naturals, for example, 36657402071 + ... + 36657411929.

It is an arithmetic number, because the mean of its divisors is an integer number (3437603020800).

Almost surely, 2^{361405375613000} 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 361405375613000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440013186662400).

361405375613000 is an abundant number, since it is smaller than the sum of its proper divisors (518620997711800).

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

361405375613000 is a wasteful number, since it uses less digits than its factorization.

361405375613000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19349 (or 19335 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 44.

The spelling of 361405375613000 in words is "three hundred sixty-one trillion, four hundred five billion, three hundred seventy-five million, six hundred thirteen thousand".