1253835136440 has 384 divisors, whose sum is σ = 4348305374400. Its totient is φ = 312730951680.

The previous prime is 1253835136429. The next prime is 1253835136471. The reversal of 1253835136440 is 446315383521.

1253835136440 is a `hidden beast` number, since 1 + 2 + 5 + 38 + 3 + 513 + 64 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89996275 + ... + 90010205.

Almost surely, 2^{1253835136440} is an apocalyptic number.

1253835136440 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 1253835136440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174152687200).

1253835136440 is an abundant number, since it is smaller than the sum of its proper divisors (3094470237960).

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

1253835136440 is a wasteful number, since it uses less digits than its factorization.

1253835136440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14247 (or 14240 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 1253835136440 in words is "one trillion, two hundred fifty-three billion, eight hundred thirty-five million, one hundred thirty-six thousand, four hundred forty".