40220064 has 120 divisors (see below), whose sum is σ = 120748320. Its totient is φ = 13129344.

The previous prime is 40220053. The next prime is 40220069. The reversal of 40220064 is 46002204.

40220064 is a `hidden beast` number, since 402 + 200 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40220069) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 152797 + ... + 153059.

It is an arithmetic number, because the mean of its divisors is an integer number (1006236).

Almost surely, 2^40220064 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 40220064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60374160).

40220064 is an abundant number, since it is smaller than the sum of its proper divisors (80528256).

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

40220064 is a wasteful number, since it uses less digits than its factorization.

40220064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40220064 is about 6341.9290440685. The cubic root of 40220064 is about 342.6212162630.

Adding to 40220064 its reverse (46002204), we get a palindrome (86222268).

The spelling of 40220064 in words is "forty million, two hundred twenty thousand, sixty-four".