4073334400 has 48 divisors (see below), whose sum is σ = 10062416790. Its totient is φ = 1629332480.

The previous prime is 4073334367. The next prime is 4073334407. The reversal of 4073334400 is 44333704.

It can be written as a sum of positive squares in 3 ways, for example, as 3904750144 + 168584256 = 62488^2 + 12984^2 .

It is not an unprimeable number, because it can be changed into a prime (4073334407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 633259 + ... + 639658.

Almost surely, 2^4073334400 is an apocalyptic number.

4073334400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4073334400 is an abundant number, since it is smaller than the sum of its proper divisors (5989082390).

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

4073334400 is a wasteful number, since it uses less digits than its factorization.

4073334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272941 (or 1272924 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 28.

The square root of 4073334400 is about 63822.6793545993. The cubic root of 4073334400 is about 1597.0432895301.

The spelling of 4073334400 in words is "four billion, seventy-three million, three hundred thirty-four thousand, four hundred".