40819320 has 96 divisors (see below), whose sum is σ = 134615520. Its totient is φ = 10725120.

The previous prime is 40819291. The next prime is 40819333. The reversal of 40819320 is 2391804.

It is a Cunningham number, because it is equal to 6389²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24762 + ... + 26358.

It is an arithmetic number, because the mean of its divisors is an integer number (1402245).

Almost surely, 2^40819320 is an apocalyptic number.

40819320 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 40819320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67307760).

40819320 is an abundant number, since it is smaller than the sum of its proper divisors (93796200).

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

40819320 is a wasteful number, since it uses less digits than its factorization.

40819320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40819320 is about 6388.9999217405. Note that the first 4 decimals coincide. The cubic root of 40819320 is about 344.3144546685.

The spelling of 40819320 in words is "forty million, eight hundred nineteen thousand, three hundred twenty".