1427477742441 has 81 divisors (see below), whose sum is σ = 2211564755127. Its totient is φ = 887189153760.

The previous prime is 1427477742407. The next prime is 1427477742461. The reversal of 1427477742441 is 1442477747241.

The square root of 1427477742441 is 1194771.

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

1427477742441 is a `hidden beast` number, since 1 + 42 + 7 + 477 + 74 + 24 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 748534702041 + 678943040400 = 865179^2 + 823980^2 .

It is not a de Polignac number, because 1427477742441 - 2²⁷ = 1427343524713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1427477742461) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3222297166 + ... + 3222297608.

Almost surely, 2^{1427477742441} is an apocalyptic number.

1427477742441 is the 1194771-st square number.

1427477742441 is the 597386-th centered octagonal number.

It is an amenable number.

1427477742441 is a deficient number, since it is larger than the sum of its proper divisors (784087012686).

1427477742441 is an frugal number, since it uses more digits than its factorization.

1427477742441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 506 counting only the distinct ones).

The product of its digits is 9834496, while the sum is 54.

The spelling of 1427477742441 in words is "one trillion, four hundred twenty-seven billion, four hundred seventy-seven million, seven hundred forty-two thousand, four hundred forty-one".