4009254912 has 336 divisors, whose sum is σ = 12880969920. Its totient is φ = 1193803776.

The previous prime is 4009254881. The next prime is 4009254937. The reversal of 4009254912 is 2194529004.

It is a super-3 number, since 3×4009254912³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45047764 + ... + 45047852.

It is an arithmetic number, because the mean of its divisors is an integer number (38336220).

Almost surely, 2^4009254912 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 4009254912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6440484960).

4009254912 is an abundant number, since it is smaller than the sum of its proper divisors (8871715008).

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

4009254912 is a wasteful number, since it uses less digits than its factorization.

4009254912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4009254912 is about 63318.6774340715. The cubic root of 4009254912 is about 1588.6243803901.

The spelling of 4009254912 in words is "four billion, nine million, two hundred fifty-four thousand, nine hundred twelve".