4412000400 has 60 divisors (see below), whose sum is σ = 14133111792. Its totient is φ = 1176533120.

The previous prime is 4412000357. The next prime is 4412000407. The reversal of 4412000400 is 40002144.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4412000400.

It is not an unprimeable number, because it can be changed into a prime (4412000407) 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, 1837134 + ... + 1839533.

Almost surely, 2^4412000400 is an apocalyptic number.

4412000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4412000400 is an abundant number, since it is smaller than the sum of its proper divisors (9721111392).

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

4412000400 is a wasteful number, since it uses less digits than its factorization.

4412000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676688 (or 3676677 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4412000400 is about 66422.8906326727. The cubic root of 4412000400 is about 1640.1309136026.

Adding to 4412000400 its reverse (40002144), we get a palindrome (4452002544).

The spelling of 4412000400 in words is "four billion, four hundred twelve million, four hundred", and thus it is an aban number.