4004294112 has 648 divisors, whose sum is σ = 15172348464. Its totient is φ = 996323328.

The previous prime is 4004294111. The next prime is 4004294143. The reversal of 4004294112 is 2114924004.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004294111) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 54853308 + ... + 54853380.

It is an arithmetic number, because the mean of its divisors is an integer number (23414118).

Almost surely, 2^4004294112 is an apocalyptic number.

4004294112 is a gapful number since it is divisible by the number (42) 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 4004294112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7586174232).

4004294112 is an abundant number, since it is smaller than the sum of its proper divisors (11168054352).

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

4004294112 is a wasteful number, since it uses less digits than its factorization.

4004294112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4004294112 is about 63279.4920333594. The cubic root of 4004294112 is about 1587.9688886460.

It can be divided in two parts, 4004 and 294112, that added together give a square (298116 = 546²).

The spelling of 4004294112 in words is "four billion, four million, two hundred ninety-four thousand, one hundred twelve".