40961680 has 20 divisors (see below), whose sum is σ = 95236092. Its totient is φ = 16384640.

The previous prime is 40961677. The next prime is 40961681. The reversal of 40961680 is 8616904.

It can be written as a sum of positive squares in 2 ways, for example, as 28344976 + 12616704 = 5324^2 + 3552^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (40961681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 255931 + ... + 256090.

Almost surely, 2^40961680 is an apocalyptic number.

40961680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40961680 is an abundant number, since it is smaller than the sum of its proper divisors (54274412).

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

40961680 is a wasteful number, since it uses less digits than its factorization.

40961680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512034 (or 512028 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 40961680 is about 6400.1312486542. The cubic root of 40961680 is about 344.7142631666.

It can be divided in two parts, 4096 and 1680, that added together give a square (5776 = 76²).

The spelling of 40961680 in words is "forty million, nine hundred sixty-one thousand, six hundred eighty".