40506144 has 144 divisors (see below), whose sum is σ = 126403200. Its totient is φ = 11321856.

The previous prime is 40506143. The next prime is 40506149. The reversal of 40506144 is 44160504.

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 (40506143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371562 + ... + 371670.

It is an arithmetic number, because the mean of its divisors is an integer number (877800).

Almost surely, 2^40506144 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 40506144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63201600).

40506144 is an abundant number, since it is smaller than the sum of its proper divisors (85897056).

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

40506144 is a wasteful number, since it uses less digits than its factorization.

40506144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 40506144 is about 6364.4437306021. The cubic root of 40506144 is about 343.4316376270.

Adding to 40506144 its reverse (44160504), we get a palindrome (84666648).

The spelling of 40506144 in words is "forty million, five hundred six thousand, one hundred forty-four".