15014131400 has 96 divisors (see below), whose sum is σ = 37232204040. Its totient is φ = 5610946560.

The previous prime is 15014131393. The next prime is 15014131403. The reversal of 15014131400 is 413141051.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4297326916 + 10716804484 = 65554^2 + 103522^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (15014131403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449684 + ... + 481916.

Almost surely, 2^15014131400 is an apocalyptic number.

15014131400 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 15014131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18616102020).

15014131400 is an abundant number, since it is smaller than the sum of its proper divisors (22218072640).

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

15014131400 is a wasteful number, since it uses less digits than its factorization.

15014131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32403 (or 32394 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 15014131400 its reverse (413141051), we get a palindrome (15427272451).

The spelling of 15014131400 in words is "fifteen billion, fourteen million, one hundred thirty-one thousand, four hundred".