40800034752 has 112 divisors (see below), whose sum is σ = 109330784640. Its totient is φ = 13426947072.

The previous prime is 40800034747. The next prime is 40800034753. The reversal of 40800034752 is 25743000804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40800034753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6303774 + ... + 6310242.

It is an arithmetic number, because the mean of its divisors is an integer number (976167720).

Almost surely, 2^40800034752 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 40800034752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54665392320).

40800034752 is an abundant number, since it is smaller than the sum of its proper divisors (68530749888).

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

40800034752 is a wasteful number, since it uses less digits than its factorization.

40800034752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6898 (or 6888 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 40800034752 in words is "forty billion, eight hundred million, thirty-four thousand, seven hundred fifty-two".