4138400800 has 72 divisors (see below), whose sum is σ = 10428832512. Its totient is φ = 1601952000.

The previous prime is 4138400789. The next prime is 4138400803. The reversal of 4138400800 is 80048314.

It is a super-2 number, since 2×4138400800² = 34252722362881280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4138400803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58636 + ... + 108235.

It is an arithmetic number, because the mean of its divisors is an integer number (144844896).

Almost surely, 2^4138400800 is an apocalyptic number.

4138400800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4138400800 is an abundant number, since it is smaller than the sum of its proper divisors (6290431712).

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

4138400800 is a wasteful number, since it uses less digits than its factorization.

4138400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166922 (or 166909 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 4138400800 is about 64330.4033875119. The cubic root of 4138400800 is about 1605.5019958391.

The spelling of 4138400800 in words is "four billion, one hundred thirty-eight million, four hundred thousand, eight hundred".