15091728116440 has 64 divisors (see below), whose sum is σ = 35181098680320. Its totient is φ = 5820402096000.

The previous prime is 15091728116411. The next prime is 15091728116441. The reversal of 15091728116440 is 4461182719051.

It is a super-3 number, since 3×15091728116440³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15091728116441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22119216 + ... + 22791295.

It is an arithmetic number, because the mean of its divisors is an integer number (549704666880).

Almost surely, 2^{15091728116440} is an apocalyptic number.

15091728116440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15091728116440 is an abundant number, since it is smaller than the sum of its proper divisors (20089370563880).

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

15091728116440 is a wasteful number, since it uses less digits than its factorization.

15091728116440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44910824 (or 44910820 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

The spelling of 15091728116440 in words is "fifteen trillion, ninety-one billion, seven hundred twenty-eight million, one hundred sixteen thousand, four hundred forty".