15112962443040 has 576 divisors, whose sum is σ = 60468218133120. Its totient is φ = 3137464565760.

The previous prime is 15112962443017. The next prime is 15112962443081. The reversal of 15112962443040 is 4034426921151.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 15112962442983 and 15112962443001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 286894144 + ... + 286946816.

It is an arithmetic number, because the mean of its divisors is an integer number (104979545370).

Almost surely, 2^{15112962443040} is an apocalyptic number.

15112962443040 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 15112962443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30234109066560).

15112962443040 is an abundant number, since it is smaller than the sum of its proper divisors (45355255690080).

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

15112962443040 is a wasteful number, since it uses less digits than its factorization.

15112962443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53825 (or 53810 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 15112962443040 in words is "fifteen trillion, one hundred twelve billion, nine hundred sixty-two million, four hundred forty-three thousand, forty".