4406406400 has 108 divisors (see below), whose sum is σ = 11898238464. Its totient is φ = 1602304000.

The previous prime is 4406406397. The next prime is 4406406427. The reversal of 4406406400 is 46046044.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39105 + ... + 101695.

Almost surely, 2^4406406400 is an apocalyptic number.

4406406400 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 4406406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5949119232).

4406406400 is an abundant number, since it is smaller than the sum of its proper divisors (7491832064).

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

4406406400 is a wasteful number, since it uses less digits than its factorization.

4406406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62628 (or 62609 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 4406406400 is about 66380.7682992597. The cubic root of 4406406400 is about 1639.4374433802.

The spelling of 4406406400 in words is "four billion, four hundred six million, four hundred six thousand, four hundred".