4258209984 has 224 divisors, whose sum is σ = 13190768640. Its totient is φ = 1187315712.

The previous prime is 4258209979. The next prime is 4258210007. The reversal of 4258209984 is 4899028524.

4258209984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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, 11602569 + ... + 11602935.

It is an arithmetic number, because the mean of its divisors is an integer number (58887360).

Almost surely, 2^4258209984 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 4258209984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6595384320).

4258209984 is an abundant number, since it is smaller than the sum of its proper divisors (8932558656).

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

4258209984 is a wasteful number, since it uses less digits than its factorization.

4258209984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 4258209984 is about 65254.9613745959. The cubic root of 4258209984 is about 1620.8482556567.

The spelling of 4258209984 in words is "four billion, two hundred fifty-eight million, two hundred nine thousand, nine hundred eighty-four".