362160846400000 has 480 divisors, whose sum is σ = 960448444490304. Its totient is φ = 135946444800000.

The previous prime is 362160846399977. The next prime is 362160846400013. The reversal of 362160846400000 is 4648061263.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9438380815 + ... + 9438419185.

Almost surely, 2^{362160846400000} 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 362160846400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480224222245152).

362160846400000 is an abundant number, since it is smaller than the sum of its proper divisors (598287598090304).

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

362160846400000 is an frugal number, since it uses more digits than its factorization.

362160846400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38778 (or 38742 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 362160846400000 in words is "three hundred sixty-two trillion, one hundred sixty billion, eight hundred forty-six million, four hundred thousand".