15344344332040 has 128 divisors (see below), whose sum is σ = 37394975600640. Its totient is φ = 5644464500736.

The previous prime is 15344344331959. The next prime is 15344344332061. The reversal of 15344344332040 is 4023344344351.

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 = 15344344331984 and 15344344332002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19004242 + ... + 19795198.

It is an arithmetic number, because the mean of its divisors is an integer number (292148246880).

Almost surely, 2^{15344344332040} is an apocalyptic number.

15344344332040 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 15344344332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18697487800320).

15344344332040 is an abundant number, since it is smaller than the sum of its proper divisors (22050631268600).

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

15344344332040 is a wasteful number, since it uses less digits than its factorization.

15344344332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791639 (or 791635 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 40.

Adding to 15344344332040 its reverse (4023344344351), we get a palindrome (19367688676391).

The spelling of 15344344332040 in words is "fifteen trillion, three hundred forty-four billion, three hundred forty-four million, three hundred thirty-two thousand, forty".