40106144 has 48 divisors (see below), whose sum is σ = 85606920. Its totient is φ = 18385920.

The previous prime is 40106137. The next prime is 40106147. The reversal of 40106144 is 44160104.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24010000 + 16096144 = 4900^2 + 4012^2 .

It is not an unprimeable number, because it can be changed into a prime (40106147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95054 + ... + 95474.

Almost surely, 2^40106144 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 40106144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42803460).

40106144 is an abundant number, since it is smaller than the sum of its proper divisors (45500776).

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

40106144 is a wasteful number, since it uses less digits than its factorization.

40106144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 40106144 is about 6332.9411808416. The cubic root of 40106144 is about 342.2974282971.

Adding to 40106144 its reverse (44160104), we get a palindrome (84266248).

The spelling of 40106144 in words is "forty million, one hundred six thousand, one hundred forty-four".