10424004313200 has 120 divisors (see below), whose sum is σ = 33392386524288. Its totient is φ = 2779665719040.

The previous prime is 10424004313187. The next prime is 10424004313339. The reversal of 10424004313200 is 231340042401.

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

It is a super-2 number, since 2×10424004313200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 64703949 + ... + 64864851.

Almost surely, 2^{10424004313200} is an apocalyptic number.

10424004313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10424004313200 is an abundant number, since it is smaller than the sum of its proper divisors (22968382211088).

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

10424004313200 is a wasteful number, since it uses less digits than its factorization.

10424004313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214911 (or 214900 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10424004313200 its reverse (231340042401), we get a palindrome (10655344355601).

The spelling of 10424004313200 in words is "ten trillion, four hundred twenty-four billion, four million, three hundred thirteen thousand, two hundred".