40809172320 has 288 divisors, whose sum is σ = 166076531712. Its totient is φ = 8922203136.

The previous prime is 40809172319. The next prime is 40809172351. The reversal of 40809172320 is 2327190804.

40809172320 is a `hidden beast` number, since 408 + 0 + 9 + 17 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 143829 + ... + 319851.

It is an arithmetic number, because the mean of its divisors is an integer number (576654624).

Almost surely, 2^40809172320 is an apocalyptic number.

40809172320 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 40809172320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83038265856).

40809172320 is an abundant number, since it is smaller than the sum of its proper divisors (125267359392).

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

40809172320 is a wasteful number, since it uses less digits than its factorization.

40809172320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176074 (or 176063 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 40809172320 in words is "forty billion, eight hundred nine million, one hundred seventy-two thousand, three hundred twenty".