40144720 has 200 divisors, whose sum is σ = 125036640. Its totient is φ = 11854080.

The previous prime is 40144717. The next prime is 40144751. The reversal of 40144720 is 2744104.

It is a super-2 number, since 2×40144720² = 3223197087756800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 40144691 and 40144700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2112871 + ... + 2112889.

Almost surely, 2^40144720 is an apocalyptic number.

40144720 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 40144720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62518320).

40144720 is an abundant number, since it is smaller than the sum of its proper divisors (84891920).

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

40144720 is a wasteful number, since it uses less digits than its factorization.

40144720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 40144720 is about 6335.9861110959. The cubic root of 40144720 is about 342.4071391210.

Adding to 40144720 its reverse (2744104), we get a palindrome (42888824).

The spelling of 40144720 in words is "forty million, one hundred forty-four thousand, seven hundred twenty".