4220010000 has 150 divisors (see below), whose sum is σ = 14758299270. Its totient is φ = 1125312000.

The previous prime is 4220009999. The next prime is 4220010001. The reversal of 4220010000 is 100224.

It is an interprime number because it is at equal distance from previous prime (4220009999) and next prime (4220010001).

It can be written as a sum of positive squares in 5 ways, for example, as 1656815616 + 2563194384 = 40704^2 + 50628^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (4220010001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 66556 + ... + 113444.

Almost surely, 2^4220010000 is an apocalyptic number.

4220010000 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 4220010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7379149635).

4220010000 is an abundant number, since it is smaller than the sum of its proper divisors (10538289270).

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

4220010000 is a wasteful number, since it uses less digits than its factorization.

4220010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46923 (or 46899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4220010000 is about 64961.6040442352. The cubic root of 4220010000 is about 1615.9868659685.

Adding to 4220010000 its reverse (100224), we get a palindrome (4220110224).

The spelling of 4220010000 in words is "four billion, two hundred twenty million, ten thousand".