40859605332 has 576 divisors, whose sum is σ = 144548651520. Its totient is φ = 9782083584.

The previous prime is 40859605313. The next prime is 40859605337. The reversal of 40859605332 is 23350695804.

40859605332 is a `hidden beast` number, since 4 + 0 + 8 + 5 + 9 + 605 + 3 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40859605337) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43606368 + ... + 43607304.

It is an arithmetic number, because the mean of its divisors is an integer number (250952520).

Almost surely, 2^40859605332 is an apocalyptic number.

40859605332 is a gapful number since it is divisible by the number (42) 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 40859605332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72274325760).

40859605332 is an abundant number, since it is smaller than the sum of its proper divisors (103689046188).

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

40859605332 is a wasteful number, since it uses less digits than its factorization.

40859605332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 40859605332 in words is "forty billion, eight hundred fifty-nine million, six hundred five thousand, three hundred thirty-two".