102479738400 has 864 divisors, whose sum is σ = 409883265792. Its totient is φ = 23904460800.

The previous prime is 102479738393. The next prime is 102479738437. The reversal of 102479738400 is 4837974201.

102479738400 is a `hidden beast` number, since 102 + 4 + 79 + 73 + 8 + 400 = 666.

102479738400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 389656669 + ... + 389656931.

It is an arithmetic number, because the mean of its divisors is an integer number (474401928).

Almost surely, 2^102479738400 is an apocalyptic number.

102479738400 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 102479738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204941632896).

102479738400 is an abundant number, since it is smaller than the sum of its proper divisors (307403527392).

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

102479738400 is a wasteful number, since it uses less digits than its factorization.

102479738400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 102479738400 in words is "one hundred two billion, four hundred seventy-nine million, seven hundred thirty-eight thousand, four hundred".