123899414400 has 960 divisors, whose sum is σ = 483455887200. Its totient is φ = 31198003200.

The previous prime is 123899414383. The next prime is 123899414411. The reversal of 123899414400 is 4414998321.

123899414400 is a `hidden beast` number, since 1 + 238 + 9 + 9 + 4 + 1 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 398390245 + ... + 398390555.

Almost surely, 2^123899414400 is an apocalyptic number.

123899414400 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 123899414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241727943600).

123899414400 is an abundant number, since it is smaller than the sum of its proper divisors (359556472800).

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

123899414400 is a wasteful number, since it uses less digits than its factorization.

123899414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 123899414400 in words is "one hundred twenty-three billion, eight hundred ninety-nine million, four hundred fourteen thousand, four hundred".