40356864 has 132 divisors (see below), whose sum is σ = 121346160. Its totient is φ = 12902400.

The previous prime is 40356863. The next prime is 40356871. The reversal of 40356864 is 46865304.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40356863) 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, 267189 + ... + 267339.

Almost surely, 2^40356864 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 40356864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60673080).

40356864 is an abundant number, since it is smaller than the sum of its proper divisors (80989296).

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

40356864 is a wasteful number, since it uses less digits than its factorization.

40356864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 40356864 is about 6352.7052505212. The cubic root of 40356864 is about 343.0092277661.

The spelling of 40356864 in words is "forty million, three hundred fifty-six thousand, eight hundred sixty-four".