40202144 has 48 divisors (see below), whose sum is σ = 85131648. Its totient is φ = 18619392.

The previous prime is 40202087. The next prime is 40202153. The reversal of 40202144 is 44120204.

40202144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35897 + ... + 36999.

It is an arithmetic number, because the mean of its divisors is an integer number (1773576).

Almost surely, 2^40202144 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 40202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42565824).

40202144 is an abundant number, since it is smaller than the sum of its proper divisors (44929504).

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

40202144 is a wasteful number, since it uses less digits than its factorization.

40202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 40202144 is about 6340.5160673245. The cubic root of 40202144 is about 342.5703238836.

Adding to 40202144 its reverse (44120204), we get a palindrome (84322348).

The spelling of 40202144 in words is "forty million, two hundred two thousand, one hundred forty-four".