4223072400 has 60 divisors (see below), whose sum is σ = 13527912432. Its totient is φ = 1126152320.

The previous prime is 4223072387. The next prime is 4223072407. The reversal of 4223072400 is 42703224.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×4223072400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4223072407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1758414 + ... + 1760813.

Almost surely, 2^4223072400 is an apocalyptic number.

4223072400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4223072400 is an abundant number, since it is smaller than the sum of its proper divisors (9304840032).

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

4223072400 is a wasteful number, since it uses less digits than its factorization.

4223072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519248 (or 3519237 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 4223072400 is about 64985.1706160721. The cubic root of 4223072400 is about 1616.3776708536.

Adding to 4223072400 its reverse (42703224), we get a palindrome (4265775624).

The spelling of 4223072400 in words is "four billion, two hundred twenty-three million, seventy-two thousand, four hundred".