15312431066240 has 256 divisors, whose sum is σ = 46188878883840. Its totient is φ = 4715202048000.

The previous prime is 15312431066197. The next prime is 15312431066263. The reversal of 15312431066240 is 4266013421351.

It is a junction number, because it is equal to n+sod(n) for n = 15312431066194 and 15312431066203.

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 31 ways as a sum of consecutive naturals, for example, 2218415 + ... + 5962065.

It is an arithmetic number, because the mean of its divisors is an integer number (180425308140).

Almost surely, 2^{15312431066240} is an apocalyptic number.

15312431066240 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 15312431066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23094439441920).

15312431066240 is an abundant number, since it is smaller than the sum of its proper divisors (30876447817600).

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

15312431066240 is a wasteful number, since it uses less digits than its factorization.

15312431066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743771 (or 3743759 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

Adding to 15312431066240 its reverse (4266013421351), we get a palindrome (19578444487591).

The spelling of 15312431066240 in words is "fifteen trillion, three hundred twelve billion, four hundred thirty-one million, sixty-six thousand, two hundred forty".