15115733114440 has 512 divisors, whose sum is σ = 43383859200000. Its totient is φ = 4622327119872.

The previous prime is 15115733114413. The next prime is 15115733114477. The reversal of 15115733114440 is 4441133751151.

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 = 15115733114393 and 15115733114402.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4769873176 + ... + 4769876344.

It is an arithmetic number, because the mean of its divisors is an integer number (84734100000).

Almost surely, 2^{15115733114440} is an apocalyptic number.

15115733114440 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 15115733114440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21691929600000).

15115733114440 is an abundant number, since it is smaller than the sum of its proper divisors (28268126085560).

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

15115733114440 is a wasteful number, since it uses less digits than its factorization.

15115733114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3997 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

Adding to 15115733114440 its reverse (4441133751151), we get a palindrome (19556866865591).

The spelling of 15115733114440 in words is "fifteen trillion, one hundred fifteen billion, seven hundred thirty-three million, one hundred fourteen thousand, four hundred forty".