10440004121400 has 192 divisors, whose sum is σ = 37742289696000. Its totient is φ = 2386286609280.

The previous prime is 10440004121389. The next prime is 10440004121401. The reversal of 10440004121400 is 412140004401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10440004121401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25158642 + ... + 25570241.

It is an arithmetic number, because the mean of its divisors is an integer number (196574425500).

Almost surely, 2^{10440004121400} is an apocalyptic number.

10440004121400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10440004121400 is an abundant number, since it is smaller than the sum of its proper divisors (27302285574600).

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

10440004121400 is a wasteful number, since it uses less digits than its factorization.

10440004121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50728923 (or 50728900 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10440004121400 its reverse (412140004401), we get a palindrome (10852144125801).

The spelling of 10440004121400 in words is "ten trillion, four hundred forty billion, four million, one hundred twenty-one thousand, four hundred".