40982144 has 64 divisors (see below), whose sum is σ = 95178240. Its totient is φ = 17212416.

The previous prime is 40982131. The next prime is 40982153. The reversal of 40982144 is 44128904.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×40982144² = 3359072253673472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 40982144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47057 + ... + 47919.

It is an arithmetic number, because the mean of its divisors is an integer number (1487160).

Almost surely, 2^40982144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40982144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47589120).

40982144 is an abundant number, since it is smaller than the sum of its proper divisors (54196096).

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

40982144 is an equidigital number, since it uses as much as digits as its factorization.

40982144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 40982144 is about 6401.7297662429. The cubic root of 40982144 is about 344.7716587476.

The spelling of 40982144 in words is "forty million, nine hundred eighty-two thousand, one hundred forty-four".