4409672400 has 360 divisors, whose sum is σ = 18139436224. Its totient is φ = 1007769600.

The previous prime is 4409672353. The next prime is 4409672429. The reversal of 4409672400 is 42769044.

4409672400 is a `hidden beast` number, since 4 + 409 + 6 + 7 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 677160 + ... + 683640.

Almost surely, 2^4409672400 is an apocalyptic number.

4409672400 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 4409672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9069718112).

4409672400 is an abundant number, since it is smaller than the sum of its proper divisors (13729763824).

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

4409672400 is a wasteful number, since it uses less digits than its factorization.

4409672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6521 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4409672400 is about 66405.3642411515. The cubic root of 4409672400 is about 1639.8423901679.

The spelling of 4409672400 in words is "four billion, four hundred nine million, six hundred seventy-two thousand, four hundred".