123676993440 has 1152 divisors, whose sum is σ = 570621542400. Its totient is φ = 23557201920.

The previous prime is 123676993421. The next prime is 123676993463. The reversal of 123676993440 is 44399676321.

It is a happy number.

123676993440 is a `hidden beast` number, since 1 + 236 + 7 + 69 + 9 + 344 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 344503981 + ... + 344504339.

It is an arithmetic number, because the mean of its divisors is an integer number (495331200).

Almost surely, 2^123676993440 is an apocalyptic number.

123676993440 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 123676993440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285310771200).

123676993440 is an abundant number, since it is smaller than the sum of its proper divisors (446944548960).

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

123676993440 is a wasteful number, since it uses less digits than its factorization.

123676993440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 123676993440 in words is "one hundred twenty-three billion, six hundred seventy-six million, nine hundred ninety-three thousand, four hundred forty".