1542387641041 has 27 divisors (see below), whose sum is σ = 1691994259227. Its totient is φ = 1405366856400.

The previous prime is 1542387641027. The next prime is 1542387641071. The reversal of 1542387641041 is 1401467832451.

The square root of 1542387641041 is 1241929.

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., 228163852225 + 1314223788816 = 477665^2 + 1146396^2 .

It is not a de Polignac number, because 1542387641041 - 2⁵ = 1542387641009 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1542387640982 and 1542387641000.

It is not an unprimeable number, because it can be changed into a prime (1542387641071) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1340040816 + ... + 1340041966.

Almost surely, 2^{1542387641041} is an apocalyptic number.

1542387641041 is the 1241929-th square number.

1542387641041 is the 620965-th centered octagonal number.

It is an amenable number.

1542387641041 is a deficient number, since it is larger than the sum of its proper divisors (149606618186).

1542387641041 is an frugal number, since it uses more digits than its factorization.

1542387641041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 1542387641041 in words is "one trillion, five hundred forty-two billion, three hundred eighty-seven million, six hundred forty-one thousand, forty-one".