1249421082624 has 480 divisors, whose sum is σ = 4349276628480. Its totient is φ = 349470720000.

The previous prime is 1249421082599. The next prime is 1249421082773. The reversal of 1249421082624 is 4262801249421.

1249421082624 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 4 + 2 + 10 + 8 + 2 + 624 = 666.

It is a super-2 number, since 2×1249421082624² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1249421082624.

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, 63248749 + ... + 63268499.

It is an arithmetic number, because the mean of its divisors is an integer number (9060992976).

Almost surely, 2^{1249421082624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1249421082624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174638314240).

1249421082624 is an abundant number, since it is smaller than the sum of its proper divisors (3099855545856).

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

1249421082624 is a wasteful number, since it uses less digits than its factorization.

1249421082624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19812 (or 19780 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1249421082624 in words is "one trillion, two hundred forty-nine billion, four hundred twenty-one million, eighty-two thousand, six hundred twenty-four".