15138883343040 has 224 divisors, whose sum is σ = 48270895681536. Its totient is φ = 4019836907520.

The previous prime is 15138883343029. The next prime is 15138883343057. The reversal of 15138883343040 is 4034338883151.

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, 601142289 + ... + 601167471.

Almost surely, 2^{15138883343040} is an apocalyptic number.

15138883343040 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 15138883343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24135447840768).

15138883343040 is an abundant number, since it is smaller than the sum of its proper divisors (33132012338496).

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

15138883343040 is a wasteful number, since it uses less digits than its factorization.

15138883343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27847 (or 27837 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 15138883343040 in words is "fifteen trillion, one hundred thirty-eight billion, eight hundred eighty-three million, three hundred forty-three thousand, forty".