15042233432240 has 960 divisors, whose sum is σ = 46029001991040. Its totient is φ = 4533758853120.

The previous prime is 15042233432099. The next prime is 15042233432323. The reversal of 15042233432240 is 4223433224051.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 15042233432240.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15087495422 + ... + 15087496418.

It is an arithmetic number, because the mean of its divisors is an integer number (47946877074).

Almost surely, 2^{15042233432240} is an apocalyptic number.

15042233432240 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 15042233432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23014500995520).

15042233432240 is an abundant number, since it is smaller than the sum of its proper divisors (30986768558800).

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

15042233432240 is a wasteful number, since it uses less digits than its factorization.

15042233432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 15042233432240 its reverse (4223433224051), we get a palindrome (19265666656291).

The spelling of 15042233432240 in words is "fifteen trillion, forty-two billion, two hundred thirty-three million, four hundred thirty-two thousand, two hundred forty".