4189602890025 has 432 divisors, whose sum is σ = 9370403827200. Its totient is φ = 1746527477760.

The previous prime is 4189602890021. The next prime is 4189602890087. The reversal of 4189602890025 is 5200982069814.

It is a happy number.

4189602890025 is a `hidden beast` number, since 4 + 1 + 8 + 9 + 602 + 8 + 9 + 0 + 0 + 25 = 666.

It is not a de Polignac number, because 4189602890025 - 2² = 4189602890021 is a prime.

It is a super-2 number, since 2×4189602890025² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4189602890021) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7363097941 + ... + 7363098509.

It is an arithmetic number, because the mean of its divisors is an integer number (21690749600).

Almost surely, 2^{4189602890025} is an apocalyptic number.

4189602890025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4189602890025 is an abundant number, since it is smaller than the sum of its proper divisors (5180800937175).

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

4189602890025 is a wasteful number, since it uses less digits than its factorization.

4189602890025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 4189602890025 in words is "four trillion, one hundred eighty-nine billion, six hundred two million, eight hundred ninety thousand, twenty-five".