40945680 has 240 divisors, whose sum is σ = 148852080. Its totient is φ = 10063872.

The previous prime is 40945679. The next prime is 40945687. The reversal of 40945680 is 8654904.

40945680 is a `hidden beast` number, since 4 + 0 + 94 + 568 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3196944 + 37748736 = 1788^2 + 6144^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (40945687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772534 + ... + 772586.

It is an arithmetic number, because the mean of its divisors is an integer number (620217).

Almost surely, 2^40945680 is an apocalyptic number.

40945680 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 40945680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74426040).

40945680 is an abundant number, since it is smaller than the sum of its proper divisors (107906400).

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

40945680 is a wasteful number, since it uses less digits than its factorization.

40945680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 40945680 is about 6398.8811522015. The cubic root of 40945680 is about 344.6693744926.

The spelling of 40945680 in words is "forty million, nine hundred forty-five thousand, six hundred eighty".