4081632293025 has 243 divisors, whose sum is σ = 8657645144499. Its totient is φ = 1832820696000.

The previous prime is 4081632293017. The next prime is 4081632293041. The reversal of 4081632293025 is 5203922361804.

The square root of 4081632293025 is 2020305.

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

4081632293025 is a `hidden beast` number, since 4 + 0 + 8 + 1 + 632 + 2 + 9 + 3 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1469387625489 + 2612244667536 = 1212183^2 + 1616244^2 .

It is not a de Polignac number, because 4081632293025 - 2³ = 4081632293017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 15061373640 + ... + 15061373910.

Almost surely, 2^{4081632293025} is an apocalyptic number.

4081632293025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4081632293025 is the 2020305-th square number.

4081632293025 is the 1010153-rd centered octagonal number.

It is an amenable number.

4081632293025 is an abundant number, since it is smaller than the sum of its proper divisors (4576012851474).

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

4081632293025 is an equidigital number, since it uses as much as digits as its factorization.

4081632293025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 4081632293025 in words is "four trillion, eighty-one billion, six hundred thirty-two million, two hundred ninety-three thousand, twenty-five".