4005816422400 has 1248 divisors, whose sum is σ = 16124999184000. Its totient is φ = 968821309440.

The previous prime is 4005816422369. The next prime is 4005816422401. The reversal of 4005816422400 is 42246185004.

4005816422400 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 8 + 1 + 642 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005816422401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2120600656 + ... + 2120602544.

Almost surely, 2^{4005816422400} is an apocalyptic number.

4005816422400 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 4005816422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8062499592000).

4005816422400 is an abundant number, since it is smaller than the sum of its proper divisors (12119182761600).

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

4005816422400 is a wasteful number, since it uses less digits than its factorization.

4005816422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 4005816422400 in words is "four trillion, five billion, eight hundred sixteen million, four hundred twenty-two thousand, four hundred".