40916880 has 160 divisors (see below), whose sum is σ = 148502400. Its totient is φ = 10326528.

The previous prime is 40916879. The next prime is 40916881. The reversal of 40916880 is 8861904.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40916879) and next prime (40916881).

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

It is not an unprimeable number, because it can be changed into a prime (40916881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40542 + ... + 41538.

It is an arithmetic number, because the mean of its divisors is an integer number (928140).

Almost surely, 2^40916880 is an apocalyptic number.

40916880 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 40916880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74251200).

40916880 is an abundant number, since it is smaller than the sum of its proper divisors (107585520).

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

40916880 is a wasteful number, since it uses less digits than its factorization.

40916880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 40916880 is about 6396.6303629333. The cubic root of 40916880 is about 344.5885454021.

The spelling of 40916880 in words is "forty million, nine hundred sixteen thousand, eight hundred eighty".