40880 has 40 divisors (see below), whose sum is σ = 110112. Its totient is φ = 13824.

The previous prime is 40879. The next prime is 40883. The reversal of 40880 is 8804.

40880 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40880.

It is not an unprimeable number, because it can be changed into a prime (40883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 524 + ... + 596.

2⁴⁰⁸⁸⁰ is an apocalyptic number.

40880 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 40880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55056).

40880 is an abundant number, since it is smaller than the sum of its proper divisors (69232).

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

40880 is a wasteful number, since it uses less digits than its factorization.

40880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 40880 is about 202.1880312976. The cubic root of 40880 is about 34.4484983859.

It can be divided in two parts, 408 and 80, that multiplied together give a triangular number (32640 = T₂₅₅).

The spelling of 40880 in words is "forty thousand, eight hundred eighty".