40680144 has 60 divisors (see below), whose sum is σ = 118075776. Its totient is φ = 13558752.

The previous prime is 40680139. The next prime is 40680149. The reversal of 40680144 is 44108604.

40680144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40680139) and next prime (40680149).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40680149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1344 + ... + 9119.

Almost surely, 2^40680144 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 40680144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59037888).

40680144 is an abundant number, since it is smaller than the sum of its proper divisors (77395632).

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

40680144 is a wasteful number, since it uses less digits than its factorization.

40680144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10486 (or 10468 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40680144 is about 6378.0987762812. The cubic root of 40680144 is about 343.9226885933.

Adding to 40680144 its reverse (44108604), we get a palindrome (84788748).

The spelling of 40680144 in words is "forty million, six hundred eighty thousand, one hundred forty-four".