10401144800 has 72 divisors (see below), whose sum is σ = 26210947392. Its totient is φ = 4026240000.

The previous prime is 10401144797. The next prime is 10401144811. The reversal of 10401144800 is 844110401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184901 + ... + 234500.

It is an arithmetic number, because the mean of its divisors is an integer number (364040936).

Almost surely, 2^10401144800 is an apocalyptic number.

10401144800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10401144800 is an abundant number, since it is smaller than the sum of its proper divisors (15809802592).

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

10401144800 is a wasteful number, since it uses less digits than its factorization.

10401144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419452 (or 419439 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The spelling of 10401144800 in words is "ten billion, four hundred one million, one hundred forty-four thousand, eight hundred".