4125634434900 has 108 divisors (see below), whose sum is σ = 14107169416704. Its totient is φ = 1000153800000.

The previous prime is 4125634434893. The next prime is 4125634434907. The reversal of 4125634434900 is 94344365214.

4125634434900 is a `hidden beast` number, since 4 + 1 + 2 + 5 + 634 + 4 + 3 + 4 + 9 + 0 + 0 = 666.

4125634434900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4125634434893) and next prime (4125634434907).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4125634434907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208355476 + ... + 208375275.

Almost surely, 2^{4125634434900} is an apocalyptic number.

It is an amenable number.

4125634434900 is an abundant number, since it is smaller than the sum of its proper divisors (9981534981804).

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

4125634434900 is a wasteful number, since it uses less digits than its factorization.

4125634434900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416730782 (or 416730772 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 4125634434900 in words is "four trillion, one hundred twenty-five billion, six hundred thirty-four million, four hundred thirty-four thousand, nine hundred".