1253968814440 has 32 divisors (see below), whose sum is σ = 2821866561000. Its totient is φ = 501509885184.

The previous prime is 1253968814437. The next prime is 1253968814453. The reversal of 1253968814440 is 444188693521.

It can be written as a sum of positive squares in 4 ways, for example, as 235455916644 + 1018512897796 = 485238^2 + 1009214^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2164275 + ... + 2681794.

Almost surely, 2^{1253968814440} is an apocalyptic number.

1253968814440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253968814440 is an abundant number, since it is smaller than the sum of its proper divisors (1567897746560).

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

1253968814440 is a wasteful number, since it uses less digits than its factorization.

1253968814440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852549 (or 4852545 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 55.

The spelling of 1253968814440 in words is "one trillion, two hundred fifty-three billion, nine hundred sixty-eight million, eight hundred fourteen thousand, four hundred forty".