10004113211400 has 864 divisors, whose sum is σ = 43282720353600. Its totient is φ = 2011692672000.

The previous prime is 10004113211399. The next prime is 10004113211419. The reversal of 10004113211400 is 411231140001.

10004113211400 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 41 + 13 + 211 + 400 = 666.

It is a super-2 number, since 2×10004113211400² (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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 133157046 + ... + 133232154.

It is an arithmetic number, because the mean of its divisors is an integer number (50095741150).

Almost surely, 2^{10004113211400} is an apocalyptic number.

10004113211400 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 10004113211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21641360176800).

10004113211400 is an abundant number, since it is smaller than the sum of its proper divisors (33278607142200).

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

10004113211400 is a wasteful number, since it uses less digits than its factorization.

10004113211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75211 (or 75168 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10004113211400 its reverse (411231140001), we get a palindrome (10415344351401).

The spelling of 10004113211400 in words is "ten trillion, four billion, one hundred thirteen million, two hundred eleven thousand, four hundred".