40182020 has 24 divisors (see below), whose sum is σ = 84682584. Its totient is φ = 16015616.

The previous prime is 40181993. The next prime is 40182053. The reversal of 40182020 is 2028104.

It can be written as a sum of positive squares in 4 ways, for example, as 2408704 + 37773316 = 1552^2 + 6146^2 .

It is a super-3 number, since 3×40182020³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 40182020.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2432 + ... + 9288.

It is an arithmetic number, because the mean of its divisors is an integer number (3528441).

Almost surely, 2^40182020 is an apocalyptic number.

It is an amenable number.

40182020 is an abundant number, since it is smaller than the sum of its proper divisors (44500564).

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

40182020 is a wasteful number, since it uses less digits than its factorization.

40182020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7159 (or 7157 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 40182020 is about 6338.9289316098. The cubic root of 40182020 is about 342.5131541647.

The spelling of 40182020 in words is "forty million, one hundred eighty-two thousand, twenty".