40205264 has 40 divisors (see below), whose sum is σ = 87732480. Its totient is φ = 17683200.

The previous prime is 40205251. The next prime is 40205267. The reversal of 40205264 is 46250204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40205267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1772 + ... + 9140.

It is an arithmetic number, because the mean of its divisors is an integer number (2193312).

Almost surely, 2^40205264 is an apocalyptic number.

40205264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40205264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43866240).

40205264 is an abundant number, since it is smaller than the sum of its proper divisors (47527216).

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

40205264 is a wasteful number, since it uses less digits than its factorization.

40205264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7419 (or 7413 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 40205264 is about 6340.7620993064. The cubic root of 40205264 is about 342.5791856975.

Adding to 40205264 its reverse (46250204), we get a palindrome (86455468).

The spelling of 40205264 in words is "forty million, two hundred five thousand, two hundred sixty-four".