4220994960 has 480 divisors, whose sum is σ = 18211834368. Its totient is φ = 851558400.

The previous prime is 4220994949. The next prime is 4220994971. The reversal of 4220994960 is 694990224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4220994949) and next prime (4220994971).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1505560 + ... + 1508360.

Almost surely, 2^4220994960 is an apocalyptic number.

4220994960 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 4220994960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9105917184).

4220994960 is an abundant number, since it is smaller than the sum of its proper divisors (13990839408).

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

4220994960 is a wasteful number, since it uses less digits than its factorization.

4220994960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 4220994960 is about 64969.1846955155. The cubic root of 4220994960 is about 1616.1125812002.

The spelling of 4220994960 in words is "four billion, two hundred twenty million, nine hundred ninety-four thousand, nine hundred sixty".