40444320 has 96 divisors (see below), whose sum is σ = 145611648. Its totient is φ = 9243648.

The previous prime is 40444319. The next prime is 40444321. The reversal of 40444320 is 2344404.

It is an interprime number because it is at equal distance from previous prime (40444319) and next prime (40444321).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (40444321) 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, 2659 + ... + 9378.

It is an arithmetic number, because the mean of its divisors is an integer number (1516788).

Almost surely, 2^40444320 is an apocalyptic number.

40444320 is a gapful number since it is divisible by the number (40) 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 40444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72805824).

40444320 is an abundant number, since it is smaller than the sum of its proper divisors (105167328).

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

40444320 is a wasteful number, since it uses less digits than its factorization.

40444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12062 (or 12054 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 40444320 is about 6359.5848921136. The cubic root of 40444320 is about 343.2568235795.

Adding to 40444320 its reverse (2344404), we get a palindrome (42788724).

The spelling of 40444320 in words is "forty million, four hundred forty-four thousand, three hundred twenty".