1257861128340 has 72 divisors (see below), whose sum is σ = 3605823533088. Its totient is φ = 327628916160.

The previous prime is 1257861128323. The next prime is 1257861128341. The reversal of 1257861128340 is 438211687521.

It is a self number, because there is not a number n which added to its sum of digits gives 1257861128340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257861128341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5558166 + ... + 5780045.

It is an arithmetic number, because the mean of its divisors is an integer number (50080882404).

Almost surely, 2^{1257861128340} is an apocalyptic number.

1257861128340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1257861128340 is an abundant number, since it is smaller than the sum of its proper divisors (2347962404748).

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

1257861128340 is a wasteful number, since it uses less digits than its factorization.

1257861128340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11338309 (or 11338264 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 1257861128340 in words is "one trillion, two hundred fifty-seven billion, eight hundred sixty-one million, one hundred twenty-eight thousand, three hundred forty".