40144416 has 96 divisors (see below), whose sum is σ = 119528640. Its totient is φ = 11695104.

The previous prime is 40144339. The next prime is 40144417. The reversal of 40144416 is 61444104.

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

It is a super-2 number, since 2×40144416² = 3223148271962112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40144417) 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, 22866 + ... + 24558.

It is an arithmetic number, because the mean of its divisors is an integer number (1245090).

Almost surely, 2^40144416 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 40144416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59764320).

40144416 is an abundant number, since it is smaller than the sum of its proper divisors (79384224).

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

40144416 is a wasteful number, since it uses less digits than its factorization.

40144416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 40144416 is about 6335.9621210989. The cubic root of 40144416 is about 342.4062748144.

The spelling of 40144416 in words is "forty million, one hundred forty-four thousand, four hundred sixteen".