1257243413504 has 176 divisors, whose sum is σ = 2869904284128. Its totient is φ = 545350483968.

The previous prime is 1257243413497. The next prime is 1257243413519. The reversal of 1257243413504 is 4053143427521.

It is a super-2 number, since 2×1257243413504² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174929399 + ... + 174936585.

Almost surely, 2^{1257243413504} 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 1257243413504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434952142064).

1257243413504 is an abundant number, since it is smaller than the sum of its proper divisors (1612660870624).

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

1257243413504 is a wasteful number, since it uses less digits than its factorization.

1257243413504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8010 (or 7992 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 41.

The spelling of 1257243413504 in words is "one trillion, two hundred fifty-seven billion, two hundred forty-three million, four hundred thirteen thousand, five hundred four".