4330220400 has 360 divisors, whose sum is σ = 16780997376. Its totient is φ = 1024934400.

The previous prime is 4330220387. The next prime is 4330220413. The reversal of 4330220400 is 40220334.

4330220400 is a `hidden beast` number, since 43 + 3 + 0 + 220 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (4330220387) and next prime (4330220413).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1701529 + ... + 1704071.

Almost surely, 2^4330220400 is an apocalyptic number.

4330220400 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 4330220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8390498688).

4330220400 is an abundant number, since it is smaller than the sum of its proper divisors (12450776976).

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

4330220400 is a wasteful number, since it uses less digits than its factorization.

4330220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4330220400 is about 65804.4101865521. The cubic root of 4330220400 is about 1629.9339303517.

Adding to 4330220400 its reverse (40220334), we get a palindrome (4370440734).

The spelling of 4330220400 in words is "four billion, three hundred thirty million, two hundred twenty thousand, four hundred".