361501920000 has 1440 divisors, whose sum is σ = 1483086010560. Its totient is φ = 86261760000.

The previous prime is 361501919969. The next prime is 361501920001. The reversal of 361501920000 is 29105163.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (361501920001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2302559922 + ... + 2302560078.

Almost surely, 2^361501920000 is an apocalyptic number.

361501920000 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 361501920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741543005280).

361501920000 is an abundant number, since it is smaller than the sum of its proper divisors (1121584090560).

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

361501920000 is a wasteful number, since it uses less digits than its factorization.

361501920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 361501920000 in words is "three hundred sixty-one billion, five hundred one million, nine hundred twenty thousand".