4004985600 has 1296 divisors, whose sum is σ = 19070029440. Its totient is φ = 812851200.

The previous prime is 4004985599. The next prime is 4004985619. The reversal of 4004985600 is 65894004.

4004985600 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 98 + 560 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93139179 + ... + 93139221.

Almost surely, 2^4004985600 is an apocalyptic number.

4004985600 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 4004985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9535014720).

4004985600 is an abundant number, since it is smaller than the sum of its proper divisors (15065043840).

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

4004985600 is a wasteful number, since it uses less digits than its factorization.

4004985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4004985600 is about 63284.9555581735. The cubic root of 4004985600 is about 1588.0602903762.

The spelling of 4004985600 in words is "four billion, four million, nine hundred eighty-five thousand, six hundred".