1257921508040 has 256 divisors, whose sum is σ = 3170816409600. Its totient is φ = 446945900544.

The previous prime is 1257921508033. The next prime is 1257921508043. The reversal of 1257921508040 is 408051297521.

It is a Cunningham number, because it is equal to 1121571²-1.

It is a junction number, because it is equal to n+sod(n) for n = 1257921507982 and 1257921508000.

It is not an unprimeable number, because it can be changed into a prime (1257921508043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213095729 + ... + 213101631.

It is an arithmetic number, because the mean of its divisors is an integer number (12386001600).

Almost surely, 2^{1257921508040} is an apocalyptic number.

1257921508040 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 1257921508040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585408204800).

1257921508040 is an abundant number, since it is smaller than the sum of its proper divisors (1912894901560).

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

1257921508040 is a wasteful number, since it uses less digits than its factorization.

1257921508040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6196 (or 6192 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 44.

The spelling of 1257921508040 in words is "one trillion, two hundred fifty-seven billion, nine hundred twenty-one million, five hundred eight thousand, forty".