4234014720 has 832 divisors, whose sum is σ = 17613926400. Its totient is φ = 955514880.

The previous prime is 4234014709. The next prime is 4234014727. The reversal of 4234014720 is 274104324.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234014727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136581105 + ... + 136581135.

Almost surely, 2^4234014720 is an apocalyptic number.

4234014720 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 4234014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8806963200).

4234014720 is an abundant number, since it is smaller than the sum of its proper divisors (13379911680).

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

4234014720 is a wasteful number, since it uses less digits than its factorization.

4234014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4234014720 is about 65069.3070502522. The cubic root of 4234014720 is about 1617.7725216412.

The spelling of 4234014720 in words is "four billion, two hundred thirty-four million, fourteen thousand, seven hundred twenty".