4201404412525 has 48 divisors (see below), whose sum is σ = 5401367571600. Its totient is φ = 3238017269760.

The previous prime is 4201404412441. The next prime is 4201404412529. The reversal of 4201404412525 is 5252144041024.

It can be written as a sum of positive squares in 24 ways, for example, as 4182294944356 + 19109468169 = 2045066^2 + 138237^2 .

It is not a de Polignac number, because 4201404412525 - 2¹⁹ = 4201403888237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201404412529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 841456429 + ... + 841461421.

It is an arithmetic number, because the mean of its divisors is an integer number (112528491075).

Almost surely, 2^{4201404412525} is an apocalyptic number.

It is an amenable number.

4201404412525 is a deficient number, since it is larger than the sum of its proper divisors (1199963159075).

4201404412525 is a wasteful number, since it uses less digits than its factorization.

4201404412525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7378 (or 7373 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

Adding to 4201404412525 its reverse (5252144041024), we get a palindrome (9453548453549).

The spelling of 4201404412525 in words is "four trillion, two hundred one billion, four hundred four million, four hundred twelve thousand, five hundred twenty-five".