40882320 has 140 divisors (see below), whose sum is σ = 142715196. Its totient is φ = 10886400.

The previous prime is 40882313. The next prime is 40882333. The reversal of 40882320 is 2328804.

It can be written as a sum of positive squares in 2 ways, for example, as 25765776 + 15116544 = 5076^2 + 3888^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 57970 + ... + 58670.

Almost surely, 2^40882320 is an apocalyptic number.

40882320 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 40882320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71357598).

40882320 is an abundant number, since it is smaller than the sum of its proper divisors (101832876).

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

40882320 is an equidigital number, since it uses as much as digits as its factorization.

40882320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40882320 is about 6393.9283699460. The cubic root of 40882320 is about 344.4915004121.

It can be divided in two parts, 408 and 82320, that added together give a palindrome (82728).

The spelling of 40882320 in words is "forty million, eight hundred eighty-two thousand, three hundred twenty".