10400012224000 has 160 divisors (see below), whose sum is σ = 29637807541056. Its totient is φ = 3565718323200.

The previous prime is 10400012223977. The next prime is 10400012224079. The reversal of 10400012224000 is 42221000401.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11159157 + ... + 12055156.

Almost surely, 2^{10400012224000} is an apocalyptic number.

10400012224000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400012224000 is an abundant number, since it is smaller than the sum of its proper divisors (19237795317056).

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

10400012224000 is an frugal number, since it uses more digits than its factorization.

10400012224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23214353 (or 23214327 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10400012224000 its reverse (42221000401), we get a palindrome (10442233224401).

The spelling of 10400012224000 in words is "ten trillion, four hundred billion, twelve million, two hundred twenty-four thousand".