1251351413144 has 128 divisors (see below), whose sum is σ = 2757127680000. Its totient is φ = 521326181376.

The previous prime is 1251351413119. The next prime is 1251351413153. The reversal of 1251351413144 is 4413141531521.

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, 354589172 + ... + 354592700.

It is an arithmetic number, because the mean of its divisors is an integer number (21540060000).

Almost surely, 2^{1251351413144} is an apocalyptic number.

1251351413144 is a gapful number since it is divisible by the number (14) 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 1251351413144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378563840000).

1251351413144 is an abundant number, since it is smaller than the sum of its proper divisors (1505776266856).

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

1251351413144 is a wasteful number, since it uses less digits than its factorization.

1251351413144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4465 (or 4461 counting only the distinct ones).

The product of its digits is 28800, while the sum is 35.

Adding to 1251351413144 its reverse (4413141531521), we get a palindrome (5664492944665).

The spelling of 1251351413144 in words is "one trillion, two hundred fifty-one billion, three hundred fifty-one million, four hundred thirteen thousand, one hundred forty-four".