1427709537424 has 135 divisors (see below), whose sum is σ = 2895633731289. Its totient is φ = 681935064960.

The previous prime is 1427709537413. The next prime is 1427709537431. The reversal of 1427709537424 is 4247359077241.

It is a happy number.

The square root of 1427709537424 is 1194868.

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., 46426459024 + 1381283078400 = 215468^2 + 1175280^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17201319687 + ... + 17201319769.

Almost surely, 2^{1427709537424} is an apocalyptic number.

1427709537424 is the 1194868-th square number.

It is an amenable number.

1427709537424 is an abundant number, since it is smaller than the sum of its proper divisors (1467924193865).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1427709537424 is an frugal number, since it uses more digits than its factorization.

1427709537424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 55.

The spelling of 1427709537424 in words is "one trillion, four hundred twenty-seven billion, seven hundred nine million, five hundred thirty-seven thousand, four hundred twenty-four".