10004401200114 has 64 divisors (see below), whose sum is σ = 23549044291200. Its totient is φ = 3137398769664.

The previous prime is 10004401200107. The next prime is 10004401200139. The reversal of 10004401200114 is 41100210440001.

10004401200114 is a `hidden beast` number, since 10 + 0 + 0 + 440 + 1 + 200 + 1 + 14 = 666.

It is a super-2 number, since 2×10004401200114² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 184674 + ... + 4476930.

It is an arithmetic number, because the mean of its divisors is an integer number (367953817050).

Almost surely, 2^{10004401200114} is an apocalyptic number.

10004401200114 is an abundant number, since it is smaller than the sum of its proper divisors (13544643091086).

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

10004401200114 is a wasteful number, since it uses less digits than its factorization.

10004401200114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4294824 (or 4294818 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10004401200114 its reverse (41100210440001), we get a palindrome (51104611640115).

The spelling of 10004401200114 in words is "ten trillion, four billion, four hundred one million, two hundred thousand, one hundred fourteen".