15040937972928 has 224 divisors, whose sum is σ = 46029378469888. Its totient is φ = 4245870182400.

The previous prime is 15040937972923. The next prime is 15040937972993. The reversal of 15040937972928 is 82927973904051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (15040937972923) 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, 40952988 + ... + 41318628.

Almost surely, 2^{15040937972928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15040937972928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23014689234944).

15040937972928 is an abundant number, since it is smaller than the sum of its proper divisors (30988440496960).

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

15040937972928 is a wasteful number, since it uses less digits than its factorization.

15040937972928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366031 (or 366021 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 66.

The spelling of 15040937972928 in words is "fifteen trillion, forty billion, nine hundred thirty-seven million, nine hundred seventy-two thousand, nine hundred twenty-eight".