361361942000 has 80 divisors (see below), whose sum is σ = 874700435232. Its totient is φ = 144391385600.

The previous prime is 361361941981. The next prime is 361361942041. The reversal of 361361942000 is 249163163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×361361942000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1798604 + ... + 1989396.

Almost surely, 2^361361942000 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 361361942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437350217616).

361361942000 is an abundant number, since it is smaller than the sum of its proper divisors (513338493232).

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

361361942000 is a wasteful number, since it uses less digits than its factorization.

361361942000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191763 (or 191747 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 361361942000 in words is "three hundred sixty-one billion, three hundred sixty-one million, nine hundred forty-two thousand".