15140768440 has 128 divisors (see below), whose sum is σ = 40685276160. Its totient is φ = 4958198784.

The previous prime is 15140768411. The next prime is 15140768441. The reversal of 15140768440 is 4486704151.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 15140768393 and 15140768402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15140768441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6136087 + ... + 6138553.

It is an arithmetic number, because the mean of its divisors is an integer number (317853720).

Almost surely, 2^15140768440 is an apocalyptic number.

15140768440 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 15140768440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20342638080).

15140768440 is an abundant number, since it is smaller than the sum of its proper divisors (25544507720).

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

15140768440 is a wasteful number, since it uses less digits than its factorization.

15140768440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 15140768440 in words is "fifteen billion, one hundred forty million, seven hundred sixty-eight thousand, four hundred forty".