4421585025 has 243 divisors, whose sum is σ = 9739956681. Its totient is φ = 1915056000.

The previous prime is 4421584997. The next prime is 4421585033. The reversal of 4421585025 is 5205851244.

The square root of 4421585025 is 66495.

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 1139670081 + 3281914944 = 33759^2 + 57288^2 .

It is not a de Polignac number, because 4421585025 - 2²¹ = 4419487873 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 142631760 + ... + 142631790.

Almost surely, 2^4421585025 is an apocalyptic number.

4421585025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4421585025 is the 66495-th square number.

4421585025 is the 33248-th centered octagonal number.

It is an amenable number.

4421585025 is an abundant number, since it is smaller than the sum of its proper divisors (5318371656).

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

4421585025 is a wasteful number, since it uses less digits than its factorization.

4421585025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The cubic root of 4421585025 is about 1641.3177274930.

Multiplying 4421585025 by its sum of digits (36), we get a square (159177060900 = 398970²).

The spelling of 4421585025 in words is "four billion, four hundred twenty-one million, five hundred eighty-five thousand, twenty-five".