40031264 has 96 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 15501312.

The previous prime is 40031239. The next prime is 40031269. The reversal of 40031264 is 46213004.

40031264 = 46² + 47² + ... + 493².

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40031269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171692 + ... + 171924.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^40031264 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 40031264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

40031264 is an abundant number, since it is smaller than the sum of its proper divisors (59034976).

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

40031264 is a wasteful number, since it uses less digits than its factorization.

40031264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 40031264 is about 6327.0264737869. The cubic root of 40031264 is about 342.0842672783.

Adding to 40031264 its reverse (46213004), we get a palindrome (86244268).

The spelling of 40031264 in words is "forty million, thirty-one thousand, two hundred sixty-four".