4006912000 has 448 divisors, whose sum is σ = 12594726144. Its totient is φ = 1238630400.

The previous prime is 4006911977. The next prime is 4006912061. The reversal of 4006912000 is 2196004.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93183979 + ... + 93184021.

It is an arithmetic number, because the mean of its divisors is an integer number (28113228).

Almost surely, 2^4006912000 is an apocalyptic number.

4006912000 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 4006912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6297363072).

4006912000 is an abundant number, since it is smaller than the sum of its proper divisors (8587814144).

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

4006912000 is an equidigital number, since it uses as much as digits as its factorization.

4006912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 4006912000 is about 63300.1737754329. The cubic root of 4006912000 is about 1588.3148688176.

The spelling of 4006912000 in words is "four billion, six million, nine hundred twelve thousand".