1257740015040 has 448 divisors, whose sum is σ = 4717338393600. Its totient is φ = 314759098368.

The previous prime is 1257740015033. The next prime is 1257740015041. The reversal of 1257740015040 is 405100477521.

1257740015040 is a `hidden beast` number, since 1 + 2 + 577 + 40 + 0 + 1 + 5 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1257740014986 and 1257740015004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257740015041) 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, 10472451 + ... + 10591869.

It is an arithmetic number, because the mean of its divisors is an integer number (10529773200).

Almost surely, 2^{1257740015040} is an apocalyptic number.

1257740015040 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 1257740015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358669196800).

1257740015040 is an abundant number, since it is smaller than the sum of its proper divisors (3459598378560).

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

1257740015040 is a wasteful number, since it uses less digits than its factorization.

1257740015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119521 (or 119505 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 1257740015040 in words is "one trillion, two hundred fifty-seven billion, seven hundred forty million, fifteen thousand, forty".