123778406060400 has 2880 divisors, whose sum is σ = 527685095325696. Its totient is φ = 24544041984000.

The previous prime is 123778406060377. The next prime is 123778406060479. The reversal of 123778406060400 is 4060604877321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 123778406060400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 337270861017 + ... + 337270861383.

Almost surely, 2^{123778406060400} is an apocalyptic number.

123778406060400 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 123778406060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263842547662848).

123778406060400 is an abundant number, since it is smaller than the sum of its proper divisors (403906689265296).

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

123778406060400 is a wasteful number, since it uses less digits than its factorization.

123778406060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 123778406060400 in words is "one hundred twenty-three trillion, seven hundred seventy-eight billion, four hundred six million, sixty thousand, four hundred".