15338150040000 has 1120 divisors, whose sum is σ = 54531076469760. Its totient is φ = 3790209024000.

The previous prime is 15338150039999. The next prime is 15338150040007. The reversal of 15338150040000 is 4005183351.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 15338150040000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15338150040007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 64176359881 + ... + 64176360119.

Almost surely, 2^{15338150040000} is an apocalyptic number.

15338150040000 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 15338150040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27265538234880).

15338150040000 is an abundant number, since it is smaller than the sum of its proper divisors (39192926429760).

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

15338150040000 is a wasteful number, since it uses less digits than its factorization.

15338150040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 15338150040000 in words is "fifteen trillion, three hundred thirty-eight billion, one hundred fifty million, forty thousand".