4023221400 has 480 divisors, whose sum is σ = 15458921280. Its totient is φ = 961632000.

The previous prime is 4023221393. The next prime is 4023221441. The reversal of 4023221400 is 41223204.

4023221400 is a `hidden beast` number, since 40 + 2 + 3 + 221 + 400 = 666.

It is a super-3 number, since 3×4023221400³ (a number of 30 digits) contains 333 as substring.

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 119 ways as a sum of consecutive naturals, for example, 19067295 + ... + 19067505.

It is an arithmetic number, because the mean of its divisors is an integer number (32206086).

Almost surely, 2^4023221400 is an apocalyptic number.

4023221400 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 4023221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7729460640).

4023221400 is an abundant number, since it is smaller than the sum of its proper divisors (11435699880).

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

4023221400 is a wasteful number, since it uses less digits than its factorization.

4023221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4023221400 is about 63428.8688216966. The cubic root of 4023221400 is about 1590.4669329948.

Adding to 4023221400 its reverse (41223204), we get a palindrome (4064444604).

The spelling of 4023221400 in words is "four billion, twenty-three million, two hundred twenty-one thousand, four hundred".