4125208416 has 96 divisors (see below), whose sum is σ = 12398238720. Its totient is φ = 1176477696.

The previous prime is 4125208393. The next prime is 4125208429. The reversal of 4125208416 is 6148025214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382425 + ... + 393063.

It is an arithmetic number, because the mean of its divisors is an integer number (129148320).

Almost surely, 2^4125208416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4125208416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6199119360).

4125208416 is an abundant number, since it is smaller than the sum of its proper divisors (8273030304).

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

4125208416 is a wasteful number, since it uses less digits than its factorization.

4125208416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11236 (or 11228 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 4125208416 is about 64227.7853891912. The cubic root of 4125208416 is about 1603.7941747036.

The spelling of 4125208416 in words is "four billion, one hundred twenty-five million, two hundred eight thousand, four hundred sixteen".