1253431114440 has 128 divisors (see below), whose sum is σ = 3840444316800. Its totient is φ = 327172413440.

The previous prime is 1253431114433. The next prime is 1253431114451. The reversal of 1253431114440 is 444111343521.

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, 1269730 + ... + 2029550.

It is an arithmetic number, because the mean of its divisors is an integer number (30003471225).

Almost surely, 2^{1253431114440} is an apocalyptic number.

1253431114440 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 1253431114440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920222158400).

1253431114440 is an abundant number, since it is smaller than the sum of its proper divisors (2587013202360).

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

1253431114440 is a wasteful number, since it uses less digits than its factorization.

1253431114440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760127 (or 760123 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 1253431114440 its reverse (444111343521), we get a palindrome (1697542457961).

The spelling of 1253431114440 in words is "one trillion, two hundred fifty-three billion, four hundred thirty-one million, one hundred fourteen thousand, four hundred forty".