40014144 has 84 divisors (see below), whose sum is σ = 115807744. Its totient is φ = 13208832.

The previous prime is 40014127. The next prime is 40014151. The reversal of 40014144 is 44141004.

It is a super-2 number, since 2×40014144² = 3202263440105472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72879 + ... + 73425.

Almost surely, 2^40014144 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 40014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57903872).

40014144 is an abundant number, since it is smaller than the sum of its proper divisors (75793600).

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

40014144 is a wasteful number, since it uses less digits than its factorization.

40014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 40014144 is about 6325.6734028876. The cubic root of 40014144 is about 342.0354944181.

Adding to 40014144 its reverse (44141004), we get a palindrome (84155148).

The spelling of 40014144 in words is "forty million, fourteen thousand, one hundred forty-four".