40417640 has 32 divisors (see below), whose sum is σ = 91125000. Its totient is φ = 16134144.

The previous prime is 40417639. The next prime is 40417651. The reversal of 40417640 is 4671404.

It can be written as a sum of positive squares in 4 ways, for example, as 37039396 + 3378244 = 6086^2 + 1838^2 .

It is a super-3 number, since 3×40417640³ (a number of 24 digits) contains 333 as substring.

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, 31736 + ... + 32984.

Almost surely, 2^40417640 is an apocalyptic number.

40417640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40417640 is an abundant number, since it is smaller than the sum of its proper divisors (50707360).

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

40417640 is a wasteful number, since it uses less digits than its factorization.

40417640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 40417640 is about 6357.4869248784. The cubic root of 40417640 is about 343.1813279634.

The spelling of 40417640 in words is "forty million, four hundred seventeen thousand, six hundred forty".