40964040 has 96 divisors (see below), whose sum is σ = 143390520. Its totient is φ = 10082304.

The previous prime is 40964039. The next prime is 40964047. The reversal of 40964040 is 4046904.

It can be written as a sum of positive squares in 4 ways, for example, as 33246756 + 7717284 = 5766^2 + 2778^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40963995 and 40964013.

It is not an unprimeable number, because it can be changed into a prime (40964047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304 + ... + 9056.

Almost surely, 2^40964040 is an apocalyptic number.

40964040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40964040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71695260).

40964040 is an abundant number, since it is smaller than the sum of its proper divisors (102426480).

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

40964040 is a wasteful number, since it uses less digits than its factorization.

40964040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8783 (or 8776 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40964040 is about 6400.3156172176. The cubic root of 40964040 is about 344.7208832567.

The spelling of 40964040 in words is "forty million, nine hundred sixty-four thousand, forty".