40961664 has 144 divisors (see below), whose sum is σ = 125088210. Its totient is φ = 12856320.

The previous prime is 40961647. The next prime is 40961677. The reversal of 40961664 is 46616904.

It can be written as a sum of positive squares in only one way, i.e., 27123264 + 13838400 = 5208^2 + 3720^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1107054 + ... + 1107090.

Almost surely, 2^40961664 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 40961664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62544105).

40961664 is an abundant number, since it is smaller than the sum of its proper divisors (84126546).

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

40961664 is a wasteful number, since it uses less digits than its factorization.

40961664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 73 counting only the distinct ones).

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

The square root of 40961664 is about 6400.1299986797. The cubic root of 40961664 is about 344.7142182837.

The spelling of 40961664 in words is "forty million, nine hundred sixty-one thousand, six hundred sixty-four".