1427540723257 has 48 divisors (see below), whose sum is σ = 1669774321152. Its totient is φ = 1215294080000.

The previous prime is 1427540723251. The next prime is 1427540723269. The reversal of 1427540723257 is 7523270457241.

It is not a de Polignac number, because 1427540723257 - 2²⁷ = 1427406505529 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1427540723257.

It is not an unprimeable number, because it can be changed into a prime (1427540723251) 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 47 ways as a sum of consecutive naturals, for example, 526572132 + ... + 526574842.

It is an arithmetic number, because the mean of its divisors is an integer number (34786965024).

Almost surely, 2^{1427540723257} is an apocalyptic number.

1427540723257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1427540723257 is a deficient number, since it is larger than the sum of its proper divisors (242233597895).

1427540723257 is a wasteful number, since it uses less digits than its factorization.

1427540723257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 49.

The spelling of 1427540723257 in words is "one trillion, four hundred twenty-seven billion, five hundred forty million, seven hundred twenty-three thousand, two hundred fifty-seven".