10131415440 has 80 divisors (see below), whose sum is σ = 31475860416. Its totient is φ = 2695820800.

The previous prime is 10131415433. The next prime is 10131415453. The reversal of 10131415440 is 4451413101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10131415440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64855 + ... + 156425.

Almost surely, 2^10131415440 is an apocalyptic number.

10131415440 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 10131415440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15737930208).

10131415440 is an abundant number, since it is smaller than the sum of its proper divisors (21344444976).

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

10131415440 is a wasteful number, since it uses less digits than its factorization.

10131415440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92048 (or 92042 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 10131415440 its reverse (4451413101), we get a palindrome (14582828541).

The spelling of 10131415440 in words is "ten billion, one hundred thirty-one million, four hundred fifteen thousand, four hundred forty".