104544044000400 has 120 divisors (see below), whose sum is σ = 334943695356480. Its totient is φ = 27873893573120.

The previous prime is 104544044000393. The next prime is 104544044000443. The reversal of 104544044000400 is 4000440445401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351061 + ... + 14464139.

It is an arithmetic number, because the mean of its divisors is an integer number (2791197461304).

Almost surely, 2^{104544044000400} is an apocalyptic number.

104544044000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104544044000400 is an abundant number, since it is smaller than the sum of its proper divisors (230399651356080).

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

104544044000400 is a wasteful number, since it uses less digits than its factorization.

104544044000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14119273 (or 14119262 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 104544044000400 its reverse (4000440445401), we get a palindrome (108544484445801).

The spelling of 104544044000400 in words is "one hundred four trillion, five hundred forty-four billion, forty-four million, four hundred", and thus it is an aban number.