4102629995025 has 405 divisors, whose sum is σ = 8466585062859. Its totient is φ = 1963531056960.

The previous prime is 4102629994919. The next prime is 4102629995027. The reversal of 4102629995025 is 5205999262014.

The square root of 4102629995025 is 2025495.

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

4102629995025 is a `hidden beast` number, since 4 + 1 + 0 + 2 + 629 + 9 + 9 + 5 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1476946798209 + 2625683196816 = 1215297^2 + 1620396^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 4102629995025 - 2¹⁵ = 4102629962257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4102629995027) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 39831359124 + ... + 39831359226.

Almost surely, 2^{4102629995025} is an apocalyptic number.

4102629995025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4102629995025 is the 2025495-th square number.

4102629995025 is the 1012748-th centered octagonal number.

It is an amenable number.

4102629995025 is an abundant number, since it is smaller than the sum of its proper divisors (4363955067834).

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

4102629995025 is a wasteful number, since it uses less digits than its factorization.

4102629995025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 4102629995025 in words is "four trillion, one hundred two billion, six hundred twenty-nine million, nine hundred ninety-five thousand, twenty-five".