4216998240 has 768 divisors, whose sum is σ = 19264573440. Its totient is φ = 836075520.

The previous prime is 4216998197. The next prime is 4216998251. The reversal of 4216998240 is 428996124.

4216998240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6682725 + ... + 6683355.

It is an arithmetic number, because the mean of its divisors is an integer number (25084080).

Almost surely, 2^4216998240 is an apocalyptic number.

4216998240 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 4216998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9632286720).

4216998240 is an abundant number, since it is smaller than the sum of its proper divisors (15047575200).

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

4216998240 is a wasteful number, since it uses less digits than its factorization.

4216998240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4216998240 is about 64938.4188289182. The cubic root of 4216998240 is about 1615.6023390053.

The spelling of 4216998240 in words is "four billion, two hundred sixteen million, nine hundred ninety-eight thousand, two hundred forty".