40217632 has 72 divisors (see below), whose sum is σ = 99240876. Its totient is φ = 15902208.

The previous prime is 40217627. The next prime is 40217641. The reversal of 40217632 is 23671204.

It can be written as a sum of positive squares in 2 ways, for example, as 35569296 + 4648336 = 5964^2 + 2156^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40217597 and 40217606.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19398 + ... + 21370.

Almost surely, 2^40217632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40217632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49620438).

40217632 is an abundant number, since it is smaller than the sum of its proper divisors (59023244).

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

40217632 is a wasteful number, since it uses less digits than its factorization.

40217632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 40217632 is about 6341.7373014025. The cubic root of 40217632 is about 342.6143103268.

Adding to 40217632 its reverse (23671204), we get a palindrome (63888836).

The spelling of 40217632 in words is "forty million, two hundred seventeen thousand, six hundred thirty-two".