4365216240 has 320 divisors, whose sum is σ = 16970342400. Its totient is φ = 901739520.

The previous prime is 4365216223. The next prime is 4365216269. The reversal of 4365216240 is 426125634.

It is a super-2 number, since 2×4365216240² = 38110225643919475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3676927 + ... + 3678113.

It is an arithmetic number, because the mean of its divisors is an integer number (53032320).

Almost surely, 2^4365216240 is an apocalyptic number.

4365216240 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 4365216240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8485171200).

4365216240 is an abundant number, since it is smaller than the sum of its proper divisors (12605126160).

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

4365216240 is a wasteful number, since it uses less digits than its factorization.

4365216240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 4365216240 is about 66069.7831084680. The cubic root of 4365216240 is about 1634.3130707657.

The spelling of 4365216240 in words is "four billion, three hundred sixty-five million, two hundred sixteen thousand, two hundred forty".