4005669139200 has 648 divisors, whose sum is σ = 14761877116896. Its totient is φ = 1035804672000.

The previous prime is 4005669139117. The next prime is 4005669139207. The reversal of 4005669139200 is 29319665004.

4005669139200 is a `hidden beast` number, since 400 + 5 + 6 + 6 + 9 + 1 + 39 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4005669139207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 249457572 + ... + 249473628.

Almost surely, 2^{4005669139200} is an apocalyptic number.

4005669139200 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 4005669139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380938558448).

4005669139200 is an abundant number, since it is smaller than the sum of its proper divisors (10756207977696).

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

4005669139200 is a wasteful number, since it uses less digits than its factorization.

4005669139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16221 (or 16199 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 4005669139200 in words is "four trillion, five billion, six hundred sixty-nine million, one hundred thirty-nine thousand, two hundred".