123738278400 has 960 divisors, whose sum is σ = 501420585600. Its totient is φ = 29885644800.

The previous prime is 123738278327. The next prime is 123738278479. The reversal of 123738278400 is 4872837321.

123738278400 is a `hidden beast` number, since 1 + 2 + 373 + 8 + 278 + 4 + 0 + 0 = 666.

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

It is a super-2 number, since 2×123738278400² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 459993466 + ... + 459993734.

It is an arithmetic number, because the mean of its divisors is an integer number (522313110).

Almost surely, 2^123738278400 is an apocalyptic number.

123738278400 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 123738278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250710292800).

123738278400 is an abundant number, since it is smaller than the sum of its proper divisors (377682307200).

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

123738278400 is an equidigital number, since it uses as much as digits as its factorization.

123738278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 123738278400 in words is "one hundred twenty-three billion, seven hundred thirty-eight million, two hundred seventy-eight thousand, four hundred".