40993344 has 112 divisors (see below), whose sum is σ = 137769600. Its totient is φ = 11708928.

The previous prime is 40993343. The next prime is 40993361. The reversal of 40993344 is 44339904.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 40993299 and 40993308.

It is not an unprimeable number, because it can be changed into a prime (40993343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10402 + ... + 13790.

Almost surely, 2^40993344 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 40993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68884800).

40993344 is an abundant number, since it is smaller than the sum of its proper divisors (96776256).

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

40993344 is a wasteful number, since it uses less digits than its factorization.

40993344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 40993344 is about 6402.6044700575. The cubic root of 40993344 is about 344.8030634073.

The spelling of 40993344 in words is "forty million, nine hundred ninety-three thousand, three hundred forty-four".