10420044002400 has 144 divisors (see below), whose sum is σ = 34381863576144. Its totient is φ = 2740614266880.

The previous prime is 10420044002383. The next prime is 10420044002441. The reversal of 10420044002400 is 420044002401.

It is a super-2 number, since 2×10420044002400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29562369 + ... + 29912768.

It is an arithmetic number, because the mean of its divisors is an integer number (238762941501).

Almost surely, 2^{10420044002400} is an apocalyptic number.

10420044002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10420044002400 is an abundant number, since it is smaller than the sum of its proper divisors (23961819573744).

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

10420044002400 is a wasteful number, since it uses less digits than its factorization.

10420044002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59475233 (or 59475220 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 10420044002400 its reverse (420044002401), we get a palindrome (10840088004801).

Subtracting from 10420044002400 its reverse (420044002401), we obtain a palindrome (9999999999999).

The spelling of 10420044002400 in words is "ten trillion, four hundred twenty billion, forty-four million, two thousand, four hundred".