123544353150400 has 504 divisors, whose sum is σ = 403232413880016. Its totient is φ = 36799760793600.

The previous prime is 123544353150377. The next prime is 123544353150419. The reversal of 123544353150400 is 4051353445321.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13761195 + ... + 20891605.

It is an arithmetic number, because the mean of its divisors is an integer number (800064313254).

Almost surely, 2^{123544353150400} is an apocalyptic number.

123544353150400 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 123544353150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201616206940008).

123544353150400 is an abundant number, since it is smaller than the sum of its proper divisors (279688060729616).

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

123544353150400 is a wasteful number, since it uses less digits than its factorization.

123544353150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7130477 (or 7130455 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 123544353150400 in words is "one hundred twenty-three trillion, five hundred forty-four billion, three hundred fifty-three million, one hundred fifty thousand, four hundred".