40956480 has 84 divisors (see below), whose sum is σ = 140883132. Its totient is φ = 10920960.

The previous prime is 40956463. The next prime is 40956481. The reversal of 40956480 is 8465904.

40956480 is a `hidden beast` number, since 4 + 0 + 9 + 5 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21455424 + 19501056 = 4632^2 + 4416^2 .

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 (40956481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4231 + ... + 9990.

Almost surely, 2^40956480 is an apocalyptic number.

40956480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40956480 is an abundant number, since it is smaller than the sum of its proper divisors (99926652).

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

40956480 is a wasteful number, since it uses less digits than its factorization.

40956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14244 (or 14231 counting only the distinct ones).

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

The square root of 40956480 is about 6399.7249940915. The cubic root of 40956480 is about 344.6996756299.

The spelling of 40956480 in words is "forty million, nine hundred fifty-six thousand, four hundred eighty".