10114124430400 has 168 divisors, whose sum is σ = 25747148505600. Its totient is φ = 3906416640000.

The previous prime is 10114124430349. The next prime is 10114124430497. The reversal of 10114124430400 is 403442141101.

It is a super-2 number, since 2×10114124430400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22043325 + ... + 22497475.

Almost surely, 2^{10114124430400} is an apocalyptic number.

10114124430400 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 10114124430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12873574252800).

10114124430400 is an abundant number, since it is smaller than the sum of its proper divisors (15633024075200).

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

10114124430400 is a wasteful number, since it uses less digits than its factorization.

10114124430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454653 (or 454638 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 10114124430400 its reverse (403442141101), we get a palindrome (10517566571501).

The spelling of 10114124430400 in words is "ten trillion, one hundred fourteen billion, one hundred twenty-four million, four hundred thirty thousand, four hundred".