40704821760 has 640 divisors, whose sum is σ = 147960172800. Its totient is φ = 9484369920.

The previous prime is 40704821713. The next prime is 40704821761. The reversal of 40704821760 is 6712840704.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (40704821761) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 151318906 + ... + 151319174.

It is an arithmetic number, because the mean of its divisors is an integer number (231187770).

Almost surely, 2^40704821760 is an apocalyptic number.

40704821760 is a gapful number since it is divisible by the number (40) 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 40704821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73980086400).

40704821760 is an abundant number, since it is smaller than the sum of its proper divisors (107255351040).

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

40704821760 is a wasteful number, since it uses less digits than its factorization.

40704821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 40704821760 in words is "forty billion, seven hundred four million, eight hundred twenty-one thousand, seven hundred sixty".