4102022369025 has 81 divisors (see below), whose sum is σ = 8547160193481. Its totient is φ = 1875113009280.

The previous prime is 4102022369023. The next prime is 4102022369051. The reversal of 4102022369025 is 5209632202014.

The square root of 4102022369025 is 2025345.

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

4102022369025 is a `hidden beast` number, since 410 + 2 + 0 + 2 + 236 + 9 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14363303409 + 4087659065616 = 119847^2 + 2021796^2 .

It is not a de Polignac number, because 4102022369025 - 2¹ = 4102022369023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4102022369023) 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, 212651581 + ... + 212670869.

Almost surely, 2^{4102022369025} is an apocalyptic number.

4102022369025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4102022369025 is the 2025345-th square number.

4102022369025 is the 1012673-rd centered octagonal number.

It is an amenable number.

4102022369025 is an abundant number, since it is smaller than the sum of its proper divisors (4445137824456).

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

4102022369025 is an frugal number, since it uses more digits than its factorization.

4102022369025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38608 (or 19304 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 4102022369025 by its sum of digits (36), we get a square (147672805284900 = 12152070²).

The spelling of 4102022369025 in words is "four trillion, one hundred two billion, twenty-two million, three hundred sixty-nine thousand, twenty-five".