4138800 has 60 divisors (see below), whose sum is σ = 13261800. Its totient is φ = 1103360.

The previous prime is 4138777. The next prime is 4138807. The reversal of 4138800 is 88314.

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

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4138807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525 + ... + 2924.

It is an arithmetic number, because the mean of its divisors is an integer number (221030).

Almost surely, 2^4138800 is an apocalyptic number.

4138800 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 4138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630900).

4138800 is an abundant number, since it is smaller than the sum of its proper divisors (9123000).

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

4138800 is a wasteful number, since it uses less digits than its factorization.

4138800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3470 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 4138800 is about 2034.4040896538. The cubic root of 4138800 is about 160.5553617695. Note that the first 3 decimals are identical.

The spelling of 4138800 in words is "four million, one hundred thirty-eight thousand, eight hundred".