102413405454400 has 168 divisors, whose sum is σ = 258602914604160. Its totient is φ = 39903272048640.

The previous prime is 102413405454391. The next prime is 102413405454443. The reversal of 102413405454400 is 4454504314201.

It is a self number, because there is not a number n which added to its sum of digits gives 102413405454400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7442937 + ... + 16131463.

It is an arithmetic number, because the mean of its divisors is an integer number (1539303063120).

Almost surely, 2^{102413405454400} is an apocalyptic number.

102413405454400 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 102413405454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129301457302080).

102413405454400 is an abundant number, since it is smaller than the sum of its proper divisors (156189509149760).

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

102413405454400 is a wasteful number, since it uses less digits than its factorization.

102413405454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8688741 (or 8688726 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

Adding to 102413405454400 its reverse (4454504314201), we get a palindrome (106867909768601).

The spelling of 102413405454400 in words is "one hundred two trillion, four hundred thirteen billion, four hundred five million, four hundred fifty-four thousand, four hundred".