1962742158441 has 27 divisors (see below), whose sum is σ = 2844042719557. Its totient is φ = 1304367488160.

The previous prime is 1962742158413. The next prime is 1962742158491. The reversal of 1962742158441 is 1448512472691.

The square root of 1962742158441 is 1400979.

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

1962742158441 is a `hidden beast` number, since 1 + 9 + 6 + 2 + 7 + 42 + 158 + 441 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1250919218025 + 711822940416 = 1118445^2 + 843696^2 .

It is not a de Polignac number, because 1962742158441 - 2³¹ = 1960594674793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1962742158491) 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, 1937553451 + ... + 1937554463.

Almost surely, 2^{1962742158441} is an apocalyptic number.

1962742158441 is the 1400979-th square number.

1962742158441 is the 700490-th centered octagonal number.

It is an amenable number.

1962742158441 is a deficient number, since it is larger than the sum of its proper divisors (881300561116).

1962742158441 is an frugal number, since it uses more digits than its factorization.

1962742158441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 1477 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 1962742158441 in words is "one trillion, nine hundred sixty-two billion, seven hundred forty-two million, one hundred fifty-eight thousand, four hundred forty-one".