1457636041 has 9 divisors (see below), whose sum is σ = 1480708359. Its totient is φ = 1434919536.

The previous prime is 1457636039. The next prime is 1457636071. The reversal of 1457636041 is 1406367541.

The square root of 1457636041 is 38179.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 827425225 + 630210816 = 28765^2 + 25104^2 .

It is not a de Polignac number, because 1457636041 - 2¹ = 1457636039 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1457636071) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2786806 + ... + 2787328.

It is an arithmetic number, because the mean of its divisors is an integer number (164523151).

Almost surely, 2^1457636041 is an apocalyptic number.

1457636041 is the 38179-th square number.

1457636041 is the 19090-th centered octagonal number.

It is an amenable number.

1457636041 is a deficient number, since it is larger than the sum of its proper divisors (23072318).

1457636041 is an frugal number, since it uses more digits than its factorization.

1457636041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The cubic root of 1457636041 is about 1133.8345832249.

The spelling of 1457636041 in words is "one billion, four hundred fifty-seven million, six hundred thirty-six thousand, forty-one".