40444272 has 100 divisors (see below), whose sum is σ = 127744056. Its totient is φ = 12251520.

The previous prime is 40444267. The next prime is 40444273. The reversal of 40444272 is 27244404.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40444273) 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, 12838 + ... + 15674.

Almost surely, 2^40444272 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 40444272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63872028).

40444272 is an abundant number, since it is smaller than the sum of its proper divisors (87299784).

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

40444272 is a wasteful number, since it uses less digits than its factorization.

40444272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 40444272 is about 6359.5811182813. The cubic root of 40444272 is about 343.2566877851.

Adding to 40444272 its reverse (27244404), we get a palindrome (67688676).

The spelling of 40444272 in words is "forty million, four hundred forty-four thousand, two hundred seventy-two".