1253842861440 has 512 divisors, whose sum is σ = 4402176024960. Its totient is φ = 301647790080.

The previous prime is 1253842861433. The next prime is 1253842861519. The reversal of 1253842861440 is 441682483521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1253842861440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371727594 + ... + 371730966.

Almost surely, 2^{1253842861440} is an apocalyptic number.

1253842861440 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 1253842861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201088012480).

1253842861440 is an abundant number, since it is smaller than the sum of its proper divisors (3148333163520).

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

1253842861440 is a wasteful number, since it uses less digits than its factorization.

1253842861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 1253842861440 in words is "one trillion, two hundred fifty-three billion, eight hundred forty-two million, eight hundred sixty-one thousand, four hundred forty".