1249768440096 has 192 divisors, whose sum is σ = 3676939007616. Its totient is φ = 368348774400.

The previous prime is 1249768440073. The next prime is 1249768440119. The reversal of 1249768440096 is 6900448679421.

It is an interprime number because it is at equal distance from previous prime (1249768440073) and next prime (1249768440119).

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, 178203886 + ... + 178210898.

It is an arithmetic number, because the mean of its divisors is an integer number (19150723998).

Almost surely, 2^{1249768440096} is an apocalyptic number.

1249768440096 is a gapful number since it is divisible by the number (16) 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 1249768440096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838469503808).

1249768440096 is an abundant number, since it is smaller than the sum of its proper divisors (2427170567520).

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

1249768440096 is a wasteful number, since it uses less digits than its factorization.

1249768440096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11635 (or 11627 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 1249768440096 in words is "one trillion, two hundred forty-nine billion, seven hundred sixty-eight million, four hundred forty thousand, ninety-six".