1251841030368 has 192 divisors, whose sum is σ = 3379138560000. Its totient is φ = 405643230720.

The previous prime is 1251841030327. The next prime is 1251841030387. The reversal of 1251841030368 is 8630301481521.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626232633 + ... + 626234631.

It is an arithmetic number, because the mean of its divisors is an integer number (17599680000).

Almost surely, 2^{1251841030368} 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 1251841030368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689569280000).

1251841030368 is an abundant number, since it is smaller than the sum of its proper divisors (2127297529632).

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

1251841030368 is a wasteful number, since it uses less digits than its factorization.

1251841030368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 1251841030368 in words is "one trillion, two hundred fifty-one billion, eight hundred forty-one million, thirty thousand, three hundred sixty-eight".