10014131400 has 384 divisors, whose sum is σ = 39248321280. Its totient is φ = 2055352320.

The previous prime is 10014131377. The next prime is 10014131417. The reversal of 10014131400 is 413141001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10014131400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2017722 + ... + 2022678.

It is an arithmetic number, because the mean of its divisors is an integer number (102209170).

Almost surely, 2^10014131400 is an apocalyptic number.

10014131400 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 10014131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19624160640).

10014131400 is an abundant number, since it is smaller than the sum of its proper divisors (29234189880).

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

10014131400 is a wasteful number, since it uses less digits than its factorization.

10014131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10014131400 its reverse (413141001), we get a palindrome (10427272401).

The spelling of 10014131400 in words is "ten billion, fourteen million, one hundred thirty-one thousand, four hundred".