1257345756240 has 160 divisors (see below), whose sum is σ = 4455040573440. Its totient is φ = 287364659712.

The previous prime is 1257345756211. The next prime is 1257345756319. The reversal of 1257345756240 is 426575437521.

It is a congruent number.

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, 20026177 + ... + 20088863.

It is an arithmetic number, because the mean of its divisors is an integer number (27844003584).

Almost surely, 2^{1257345756240} is an apocalyptic number.

1257345756240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1257345756240 is an abundant number, since it is smaller than the sum of its proper divisors (3197694817200).

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

1257345756240 is a wasteful number, since it uses less digits than its factorization.

1257345756240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74649 (or 74643 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 51.

The spelling of 1257345756240 in words is "one trillion, two hundred fifty-seven billion, three hundred forty-five million, seven hundred fifty-six thousand, two hundred forty".