10440421413400 has 576 divisors, whose sum is σ = 28485372176640. Its totient is φ = 3521696640000.

The previous prime is 10440421413361. The next prime is 10440421413421. The reversal of 10440421413400 is 431412404401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21263587155 + ... + 21263587645.

It is an arithmetic number, because the mean of its divisors is an integer number (49453771140).

Almost surely, 2^{10440421413400} is an apocalyptic number.

10440421413400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10440421413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14242686088320).

10440421413400 is an abundant number, since it is smaller than the sum of its proper divisors (18044950763240).

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

10440421413400 is a wasteful number, since it uses less digits than its factorization.

10440421413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 10440421413400 its reverse (431412404401), we get a palindrome (10871833817801).

The spelling of 10440421413400 in words is "ten trillion, four hundred forty billion, four hundred twenty-one million, four hundred thirteen thousand, four hundred".