104414144486400 has 2376 divisors, whose sum is σ = 459509295772800. Its totient is φ = 22183351418880.

The previous prime is 104414144486339. The next prime is 104414144486447. The reversal of 104414144486400 is 4684441414401.

104414144486400 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 141 + 4 + 448 + 64 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 38686232251 + ... + 38686234949.

Almost surely, 2^{104414144486400} is an apocalyptic number.

104414144486400 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 104414144486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229754647886400).

104414144486400 is an abundant number, since it is smaller than the sum of its proper divisors (355095151286400).

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

104414144486400 is a wasteful number, since it uses less digits than its factorization.

104414144486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 104414144486400 in words is "one hundred four trillion, four hundred fourteen billion, one hundred forty-four million, four hundred eighty-six thousand, four hundred".