102320340480000 has 1820 divisors, whose sum is σ = 387642462142320. Its totient is φ = 26981351424000.

The previous prime is 102320340479971. The next prime is 102320340480073. The reversal of 102320340480000 is 84043023201.

102320340480000 is a `hidden beast` number, since 10 + 232 + 0 + 340 + 4 + 80 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 203420159749 + ... + 203420160251.

Almost surely, 2^{102320340480000} is an apocalyptic number.

102320340480000 is a gapful number since it is divisible by the number (10) 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 102320340480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193821231071160).

102320340480000 is an abundant number, since it is smaller than the sum of its proper divisors (285322121662320).

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

102320340480000 is an frugal number, since it uses more digits than its factorization.

102320340480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 102320340480000 in words is "one hundred two trillion, three hundred twenty billion, three hundred forty million, four hundred eighty thousand".