1257114442752 has 1056 divisors, whose sum is σ = 4566498693120. Its totient is φ = 337774510080.

The previous prime is 1257114442739. The next prime is 1257114442763. The reversal of 1257114442752 is 2572444117521.

1257114442752 is a `hidden beast` number, since 1 + 2 + 571 + 1 + 4 + 4 + 4 + 2 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1257114442698 and 1257114442707.

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, 2071028433 + ... + 2071029039.

Almost surely, 2^{1257114442752} is an apocalyptic number.

1257114442752 is a gapful number since it is divisible by the number (12) 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 1257114442752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283249346560).

1257114442752 is an abundant number, since it is smaller than the sum of its proper divisors (3309384250368).

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

1257114442752 is an equidigital number, since it uses as much as digits as its factorization.

1257114442752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 689 counting only the distinct ones).

The product of its digits is 627200, while the sum is 45.

The spelling of 1257114442752 in words is "one trillion, two hundred fifty-seven billion, one hundred fourteen million, four hundred forty-two thousand, seven hundred fifty-two".