1457426247541 has 32 divisors (see below), whose sum is σ = 1626090425856. Its totient is φ = 1305921830400.

The previous prime is 1457426247491. The next prime is 1457426247577.

1457426247541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1457426247541 - 2¹³ = 1457426239349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457426247341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181787965 + ... + 181795981.

It is an arithmetic number, because the mean of its divisors is an integer number (50815325808).

Almost surely, 2^{1457426247541} is an apocalyptic number.

1457426247541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1457426247541 is a deficient number, since it is larger than the sum of its proper divisors (168664178315).

1457426247541 is an equidigital number, since it uses as much as digits as its factorization.

1457426247541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9994 (or 9972 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 52.

The spelling of 1457426247541 in words is "one trillion, four hundred fifty-seven billion, four hundred twenty-six million, two hundred forty-seven thousand, five hundred forty-one".