10131422400 has 504 divisors, whose sum is σ = 39621464064. Its totient is φ = 2435020800.

The previous prime is 10131422393. The next prime is 10131422417. The reversal of 10131422400 is 422413101.

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 71 ways as a sum of consecutive naturals, for example, 26452609 + ... + 26452991.

It is an arithmetic number, because the mean of its divisors is an integer number (78614016).

Almost surely, 2^10131422400 is an apocalyptic number.

10131422400 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 10131422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19810732032).

10131422400 is an abundant number, since it is smaller than the sum of its proper divisors (29490041664).

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

10131422400 is a wasteful number, since it uses less digits than its factorization.

10131422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10131422400 its reverse (422413101), we get a palindrome (10553835501).

The spelling of 10131422400 in words is "ten billion, one hundred thirty-one million, four hundred twenty-two thousand, four hundred".