40833497328 has 160 divisors (see below), whose sum is σ = 119275699200. Its totient is φ = 11949493248.

The previous prime is 40833497323. The next prime is 40833497371. The reversal of 40833497328 is 82379433804.

40833497328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 202073²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40833497323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1195593 + ... + 1229271.

It is an arithmetic number, because the mean of its divisors is an integer number (745473120).

Almost surely, 2^40833497328 is an apocalyptic number.

40833497328 is a gapful number since it is divisible by the number (48) 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 40833497328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59637849600).

40833497328 is an abundant number, since it is smaller than the sum of its proper divisors (78442201872).

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

40833497328 is a wasteful number, since it uses less digits than its factorization.

40833497328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33799 (or 33793 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 40833497328 in words is "forty billion, eight hundred thirty-three million, four hundred ninety-seven thousand, three hundred twenty-eight".