4220874240 has 320 divisors, whose sum is σ = 15591502080. Its totient is φ = 962723840.

The previous prime is 4220874227. The next prime is 4220874269. The reversal of 4220874240 is 424780224.

4220874240 is digitally balanced in base 2 and base 4, because in such bases 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 (320).

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 31 ways as a sum of consecutive naturals, for example, 1434691 + ... + 1437629.

It is an arithmetic number, because the mean of its divisors is an integer number (48723444).

Almost surely, 2^4220874240 is an apocalyptic number.

4220874240 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 4220874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7795751040).

4220874240 is an abundant number, since it is smaller than the sum of its proper divisors (11370627840).

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

4220874240 is a wasteful number, since it uses less digits than its factorization.

4220874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 4220874240 is about 64968.2556330397. The cubic root of 4220874240 is about 1616.0971741716.

The spelling of 4220874240 in words is "four billion, two hundred twenty million, eight hundred seventy-four thousand, two hundred forty".