4240377216 has 224 divisors, whose sum is σ = 13110753600. Its totient is φ = 1363848192.

The previous prime is 4240377181. The next prime is 4240377263. The reversal of 4240377216 is 6127730424.

4240377216 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2705265 + ... + 2706831.

It is an arithmetic number, because the mean of its divisors is an integer number (58530150).

Almost surely, 2^4240377216 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 4240377216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6555376800).

4240377216 is an abundant number, since it is smaller than the sum of its proper divisors (8870376384).

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

4240377216 is an equidigital number, since it uses as much as digits as its factorization.

4240377216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4240377216 is about 65118.1788443135. The cubic root of 4240377216 is about 1618.5824636894.

The spelling of 4240377216 in words is "four billion, two hundred forty million, three hundred seventy-seven thousand, two hundred sixteen".