40820360 has 64 divisors (see below), whose sum is σ = 110505600. Its totient is φ = 13257216.

The previous prime is 40820333. The next prime is 40820363. The reversal of 40820360 is 6302804.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40820363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1484 + ... + 9156.

It is an arithmetic number, because the mean of its divisors is an integer number (1726650).

Almost surely, 2^40820360 is an apocalyptic number.

40820360 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 40820360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55252800).

40820360 is an abundant number, since it is smaller than the sum of its proper divisors (69685240).

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

40820360 is a wasteful number, since it uses less digits than its factorization.

40820360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7710 (or 7706 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 40820360 is about 6389.0813111120. The cubic root of 40820360 is about 344.3173788066.

The spelling of 40820360 in words is "forty million, eight hundred twenty thousand, three hundred sixty".