4406342400 has 324 divisors, whose sum is σ = 15870020712. Its totient is φ = 1166376960.

The previous prime is 4406342393. The next prime is 4406342401. The reversal of 4406342400 is 42436044.

4406342400 is a `hidden beast` number, since 4 + 4 + 0 + 634 + 24 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4406342401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13075032 + ... + 13075368.

Almost surely, 2^4406342400 is an apocalyptic number.

4406342400 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 4406342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7935010356).

4406342400 is an abundant number, since it is smaller than the sum of its proper divisors (11463678312).

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

4406342400 is a wasteful number, since it uses less digits than its factorization.

4406342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4406342400 is about 66380.2862301753. The cubic root of 4406342400 is about 1639.4295061107.

Adding to 4406342400 its reverse (42436044), we get a palindrome (4448778444).

The spelling of 4406342400 in words is "four billion, four hundred six million, three hundred forty-two thousand, four hundred".