4004467040 has 96 divisors (see below), whose sum is σ = 10832258304. Its totient is φ = 1370396160.

The previous prime is 4004467021. The next prime is 4004467111. The reversal of 4004467040 is 407644004.

It is a junction number, because it is equal to n+sod(n) for n = 4004466994 and 4004467012.

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 15 ways as a sum of consecutive naturals, for example, 654395 + ... + 660485.

It is an arithmetic number, because the mean of its divisors is an integer number (112836024).

Almost surely, 2^4004467040 is an apocalyptic number.

4004467040 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 4004467040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416129152).

4004467040 is an abundant number, since it is smaller than the sum of its proper divisors (6827791264).

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

4004467040 is a wasteful number, since it uses less digits than its factorization.

4004467040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6700 (or 6692 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 4004467040 is about 63280.8584012575. The cubic root of 4004467040 is about 1587.9917474673.

The spelling of 4004467040 in words is "four billion, four million, four hundred sixty-seven thousand, forty".