4029225984 has 352 divisors, whose sum is σ = 13834444800. Its totient is φ = 1134673920.

The previous prime is 4029225973. The next prime is 4029225989. The reversal of 4029225984 is 4895229204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4029225989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21095329 + ... + 21095519.

It is an arithmetic number, because the mean of its divisors is an integer number (39302400).

Almost surely, 2^4029225984 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 4029225984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6917222400).

4029225984 is an abundant number, since it is smaller than the sum of its proper divisors (9805218816).

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

4029225984 is a wasteful number, since it uses less digits than its factorization.

4029225984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4029225984 is about 63476.1843843815. The cubic root of 4029225984 is about 1591.2577872359.

The spelling of 4029225984 in words is "four billion, twenty-nine million, two hundred twenty-five thousand, nine hundred eighty-four".