40034004066 has 96 divisors (see below), whose sum is σ = 102903091200. Its totient is φ = 11007277920.

The previous prime is 40034004047. The next prime is 40034004067. The reversal of 40034004066 is 66040043004.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40034004067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670545 + ... + 727803.

It is an arithmetic number, because the mean of its divisors is an integer number (1071907200).

Almost surely, 2^40034004066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40034004066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51451545600).

40034004066 is an abundant number, since it is smaller than the sum of its proper divisors (62869087134).

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

40034004066 is a wasteful number, since it uses less digits than its factorization.

40034004066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57484 (or 57481 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 40034004066 in words is "forty billion, thirty-four million, four thousand, sixty-six", and thus it is an eban number.