4122088704 has 432 divisors, whose sum is σ = 13356575232. Its totient is φ = 1264564224.

The previous prime is 4122088699. The next prime is 4122088717. The reversal of 4122088704 is 4078802214.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61523679 + ... + 61523745.

Almost surely, 2^4122088704 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 4122088704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6678287616).

4122088704 is an abundant number, since it is smaller than the sum of its proper divisors (9234486528).

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

4122088704 is an equidigital number, since it uses as much as digits as its factorization.

4122088704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4122088704 is about 64203.4944843347. The cubic root of 4122088704 is about 1603.3897799648.

The spelling of 4122088704 in words is "four billion, one hundred twenty-two million, eighty-eight thousand, seven hundred four".