4127987745025 has 9 divisors (see below), whose sum is σ = 5118717400681. Its totient is φ = 3302382069040.

The previous prime is 4127987745019. The next prime is 4127987745097. The reversal of 4127987745025 is 5205477897214.

It is a happy number.

The square root of 4127987745025 is 2031745.

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

It can be written as a sum of positive squares in 4 ways, for example, as 545992421569 + 3581995323456 = 738913^2 + 1892616^2 .

It is not a de Polignac number, because 4127987745025 - 2¹⁵ = 4127987712257 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9955551 + ... + 10361899.

Almost surely, 2^{4127987745025} is an apocalyptic number.

4127987745025 is the 2031745-th square number.

4127987745025 is the 1015873-rd centered octagonal number.

It is an amenable number.

4127987745025 is a deficient number, since it is larger than the sum of its proper divisors (990729655656).

4127987745025 is an frugal number, since it uses more digits than its factorization.

4127987745025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812708 (or 406354 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 61.

The spelling of 4127987745025 in words is "four trillion, one hundred twenty-seven billion, nine hundred eighty-seven million, seven hundred forty-five thousand, twenty-five".