10804399712400 has 240 divisors, whose sum is σ = 40144759015424. Its totient is φ = 2432717591040.

The previous prime is 10804399712387. The next prime is 10804399712423. The reversal of 10804399712400 is 421799340801.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10804399712400.

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 47 ways as a sum of consecutive naturals, for example, 9035992 + ... + 10161591.

Almost surely, 2^{10804399712400} is an apocalyptic number.

10804399712400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10804399712400 is an abundant number, since it is smaller than the sum of its proper divisors (29340359303024).

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

10804399712400 is a wasteful number, since it uses less digits than its factorization.

10804399712400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19197678 (or 19197667 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 10804399712400 in words is "ten trillion, eight hundred four billion, three hundred ninety-nine million, seven hundred twelve thousand, four hundred".