40817664 has 132 divisors (see below), whose sum is σ = 121771936. Its totient is φ = 13160448.

The previous prime is 40817659. The next prime is 40817671. The reversal of 40817664 is 46671804.

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

It is a congruent number.

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, 396237 + ... + 396339.

Almost surely, 2^40817664 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 40817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60885968).

40817664 is an abundant number, since it is smaller than the sum of its proper divisors (80954272).

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

40817664 is a wasteful number, since it uses less digits than its factorization.

40817664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 40817664 is about 6388.8703226783. The cubic root of 40817664 is about 344.3097984383.

The spelling of 40817664 in words is "forty million, eight hundred seventeen thousand, six hundred sixty-four".