4113444400 has 60 divisors (see below), whose sum is σ = 10642759792. Its totient is φ = 1518808320.

The previous prime is 4113444353. The next prime is 4113444403. The reversal of 4113444400 is 44443114.

It is a happy number.

4113444400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4113444403) 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, 390324 + ... + 400723.

Almost surely, 2^4113444400 is an apocalyptic number.

4113444400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4113444400 is an abundant number, since it is smaller than the sum of its proper divisors (6529315392).

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

4113444400 is a wasteful number, since it uses less digits than its factorization.

4113444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791078 (or 791067 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4113444400 is about 64136.1395782440. The cubic root of 4113444400 is about 1602.2681893039.

Adding to 4113444400 its reverse (44443114), we get a palindrome (4157887514).

The spelling of 4113444400 in words is "four billion, one hundred thirteen million, four hundred forty-four thousand, four hundred".