102479126400 has 1152 divisors, whose sum is σ = 441419247360. Its totient is φ = 22992076800.

The previous prime is 102479126381. The next prime is 102479126417. The reversal of 102479126400 is 4621974201.

It is a happy number.

102479126400 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 7 + 9 + 1 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 364694260 + ... + 364694540.

It is an arithmetic number, because the mean of its divisors is an integer number (383176430).

Almost surely, 2^102479126400 is an apocalyptic number.

102479126400 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 102479126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220709623680).

102479126400 is an abundant number, since it is smaller than the sum of its proper divisors (338940120960).

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

102479126400 is an equidigital number, since it uses as much as digits as its factorization.

102479126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 102479126400 in words is "one hundred two billion, four hundred seventy-nine million, one hundred twenty-six thousand, four hundred".