1257744983040 has 2772 divisors, whose sum is σ = 5924030388444. Its totient is φ = 253832527872.

The previous prime is 1257744983039. The next prime is 1257744983059. The reversal of 1257744983040 is 403894477521.

1257744983040 is a `hidden beast` number, since 1 + 2 + 57 + 74 + 498 + 30 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 309598765056 + 948146217984 = 556416^2 + 973728^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 54684564469 + ... + 54684564491.

Almost surely, 2^{1257744983040} is an apocalyptic number.

1257744983040 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 1257744983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962015194222).

1257744983040 is an abundant number, since it is smaller than the sum of its proper divisors (4666285405404).

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

1257744983040 is an equidigital number, since it uses as much as digits as its factorization.

1257744983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 1257744983040 in words is "one trillion, two hundred fifty-seven billion, seven hundred forty-four million, nine hundred eighty-three thousand, forty".