10440014104100 has 144 divisors (see below), whose sum is σ = 27020016108288. Its totient is φ = 3423416156160.

The previous prime is 10440014104073. The next prime is 10440014104181. The reversal of 10440014104100 is 140141004401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 164075492 + ... + 164139108.

It is an arithmetic number, because the mean of its divisors is an integer number (187639000752).

Almost surely, 2^{10440014104100} is an apocalyptic number.

10440014104100 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 10440014104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13510008054144).

10440014104100 is an abundant number, since it is smaller than the sum of its proper divisors (16580002004188).

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

10440014104100 is a wasteful number, since it uses less digits than its factorization.

10440014104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73854 (or 73847 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10440014104100 its reverse (140141004401), we get a palindrome (10580155108501).

The spelling of 10440014104100 in words is "ten trillion, four hundred forty billion, fourteen million, one hundred four thousand, one hundred".