4040580672 has 504 divisors, whose sum is σ = 13624316160. Its totient is φ = 1184440320.

The previous prime is 4040580667. The next prime is 4040580673. The reversal of 4040580672 is 2760850404.

4040580672 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 580 + 6 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4040580673) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130341297 + ... + 130341327.

Almost surely, 2^4040580672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040580672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6812158080).

4040580672 is an abundant number, since it is smaller than the sum of its proper divisors (9583735488).

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

4040580672 is a wasteful number, since it uses less digits than its factorization.

4040580672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4040580672 is about 63565.5619970437. The cubic root of 4040580672 is about 1592.7511501223.

The spelling of 4040580672 in words is "four billion, forty million, five hundred eighty thousand, six hundred seventy-two".