13431254150240 has 192 divisors, whose sum is σ = 33716894283072. Its totient is φ = 5049431654400.

The previous prime is 13431254150219. The next prime is 13431254150257. The reversal of 13431254150240 is 4205145213431.

It is a self number, because there is not a number n which added to its sum of digits gives 13431254150240.

It is a congruent number.

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, 20265710 + ... + 20917970.

It is an arithmetic number, because the mean of its divisors is an integer number (175608824391).

Almost surely, 2^{13431254150240} is an apocalyptic number.

13431254150240 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 13431254150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16858447141536).

13431254150240 is an abundant number, since it is smaller than the sum of its proper divisors (20285640132832).

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

13431254150240 is a wasteful number, since it uses less digits than its factorization.

13431254150240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652433 (or 652425 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 13431254150240 its reverse (4205145213431), we get a palindrome (17636399363671).

The spelling of 13431254150240 in words is "thirteen trillion, four hundred thirty-one billion, two hundred fifty-four million, one hundred fifty thousand, two hundred forty".