40960944 has 80 divisors (see below), whose sum is σ = 119858400. Its totient is φ = 13388544.

The previous prime is 40960943. The next prime is 40961023. The reversal of 40960944 is 44906904.

40960944 is a `hidden beast` number, since 4 + 0 + 9 + 609 + 44 = 666.

It is a super-2 number, since 2×40960944² = 3355597866742272, which contains 22 as substring.

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 = 40960899 and 40960908.

It is not an unprimeable number, because it can be changed into a prime (40960943) 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, 22002 + ... + 23790.

It is an arithmetic number, because the mean of its divisors is an integer number (1498230).

Almost surely, 2^40960944 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 40960944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59929200).

40960944 is an abundant number, since it is smaller than the sum of its proper divisors (78897456).

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

40960944 is a wasteful number, since it uses less digits than its factorization.

40960944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 40960944 is about 6400.0737495751. The cubic root of 40960944 is about 344.7121985441.

The spelling of 40960944 in words is "forty million, nine hundred sixty thousand, nine hundred forty-four".