40329805824 has 640 divisors, whose sum is σ = 153008064000. Its totient is φ = 10192158720.

The previous prime is 40329805819. The next prime is 40329805853. The reversal of 40329805824 is 42850892304.

40329805824 is a `hidden beast` number, since 40 + 3 + 29 + 8 + 0 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40329805824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1089994734 + ... + 1089994770.

It is an arithmetic number, because the mean of its divisors is an integer number (239075100).

Almost surely, 2^40329805824 is an apocalyptic number.

40329805824 is a gapful number since it is divisible by the number (44) 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 40329805824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76504032000).

40329805824 is an abundant number, since it is smaller than the sum of its proper divisors (112678258176).

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

40329805824 is an frugal number, since it uses more digits than its factorization.

40329805824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 40329805824 in words is "forty billion, three hundred twenty-nine million, eight hundred five thousand, eight hundred twenty-four".