40982688 has 108 divisors (see below), whose sum is σ = 122284890. Its totient is φ = 13018368.

The previous prime is 40982687. The next prime is 40982693. The reversal of 40982688 is 88628904.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 40297104 + 685584 = 6348^2 + 828^2 .

It is not an unprimeable number, because it can be changed into a prime (40982681) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 152218 + ... + 152486.

Almost surely, 2^40982688 is an apocalyptic number.

40982688 is a gapful number since it is divisible by the number (48) 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 40982688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61142445).

40982688 is an abundant number, since it is smaller than the sum of its proper divisors (81302202).

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

40982688 is a wasteful number, since it uses less digits than its factorization.

40982688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 40982688 is about 6401.7722546182. The cubic root of 40982688 is about 344.7731842490.

It can be divided in two parts, 4098 and 2688, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 40982688 in words is "forty million, nine hundred eighty-two thousand, six hundred eighty-eight".