1257642141007 has 12 divisors (see below), whose sum is σ = 1549028616480. Its totient is φ = 1014568449216.

The previous prime is 1257642140999. The next prime is 1257642141017. The reversal of 1257642141007 is 7001412467521.

It is not a de Polignac number, because 1257642141007 - 2³ = 1257642140999 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257642141017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 754886407 + ... + 754888072.

It is an arithmetic number, because the mean of its divisors is an integer number (129085718040).

Almost surely, 2^{1257642141007} is an apocalyptic number.

1257642141007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1257642141007 is a deficient number, since it is larger than the sum of its proper divisors (291386475473).

1257642141007 is a wasteful number, since it uses less digits than its factorization.

1257642141007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509774510 (or 1509774503 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 1257642141007 in words is "one trillion, two hundred fifty-seven billion, six hundred forty-two million, one hundred forty-one thousand, seven".