4040673672 has 384 divisors, whose sum is σ = 13027737600. Its totient is φ = 1037836800.

The previous prime is 4040673643. The next prime is 4040673677. The reversal of 4040673672 is 2763760404.

4040673672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4040673672.

It is not an unprimeable number, because it can be changed into a prime (4040673677) 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, 51147729 + ... + 51147807.

It is an arithmetic number, because the mean of its divisors is an integer number (33926400).

Almost surely, 2^4040673672 is an apocalyptic number.

4040673672 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 4040673672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6513868800).

4040673672 is an abundant number, since it is smaller than the sum of its proper divisors (8987063928).

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

4040673672 is a wasteful number, since it uses less digits than its factorization.

4040673672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The square root of 4040673672 is about 63566.2935210163. The cubic root of 4040673672 is about 1592.7633698775.

The spelling of 4040673672 in words is "four billion, forty million, six hundred seventy-three thousand, six hundred seventy-two".