123964402320 has 800 divisors, whose sum is σ = 483290603136. Its totient is φ = 29196288000.

The previous prime is 123964402307. The next prime is 123964402343. The reversal of 123964402320 is 23204469321.

123964402320 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 644 + 0 + 2 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 159 ways as a sum of consecutive naturals, for example, 482351632 + ... + 482351888.

Almost surely, 2^123964402320 is an apocalyptic number.

123964402320 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 123964402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241645301568).

123964402320 is an abundant number, since it is smaller than the sum of its proper divisors (359326200816).

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

123964402320 is a wasteful number, since it uses less digits than its factorization.

123964402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 123964402320 in words is "one hundred twenty-three billion, nine hundred sixty-four million, four hundred two thousand, three hundred twenty".