4220778240 has 576 divisors, whose sum is σ = 17424691200. Its totient is φ = 947552256.

The previous prime is 4220778239. The next prime is 4220778269. The reversal of 4220778240 is 428770224.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 4220778195 and 4220778204.

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, 17660041 + ... + 17660279.

It is an arithmetic number, because the mean of its divisors is an integer number (30251200).

Almost surely, 2^4220778240 is an apocalyptic number.

4220778240 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 4220778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8712345600).

4220778240 is an abundant number, since it is smaller than the sum of its proper divisors (13203912960).

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

4220778240 is a wasteful number, since it uses less digits than its factorization.

4220778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 4220778240 is about 64967.5168064780. The cubic root of 4220778240 is about 1616.0849218516.

The spelling of 4220778240 in words is "four billion, two hundred twenty million, seven hundred seventy-eight thousand, two hundred forty".