4234912000 has 288 divisors, whose sum is σ = 11777560704. Its totient is φ = 1504256000.

The previous prime is 4234911943. The next prime is 4234912037. The reversal of 4234912000 is 2194324.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18655887 + ... + 18656113.

It is an arithmetic number, because the mean of its divisors is an integer number (40894308).

Almost surely, 2^4234912000 is an apocalyptic number.

4234912000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888780352).

4234912000 is an abundant number, since it is smaller than the sum of its proper divisors (7542648704).

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

4234912000 is a wasteful number, since it uses less digits than its factorization.

4234912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 4234912000 is about 65076.2014871796. The cubic root of 4234912000 is about 1617.8867939882.

The spelling of 4234912000 in words is "four billion, two hundred thirty-four million, nine hundred twelve thousand".