40214322144 has 72 divisors (see below), whose sum is σ = 114386126400. Its totient is φ = 13401650688.

The previous prime is 40214322139. The next prime is 40214322151. The reversal of 40214322144 is 44122341204.

40214322144 is a `hidden beast` number, since 402 + 1 + 43 + 2 + 214 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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, 1451332 + ... + 1478780.

It is an arithmetic number, because the mean of its divisors is an integer number (1588696200).

Almost surely, 2^40214322144 is an apocalyptic number.

It is an amenable number.

40214322144 is an abundant number, since it is smaller than the sum of its proper divisors (74171804256).

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

40214322144 is a wasteful number, since it uses less digits than its factorization.

40214322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32552 (or 32541 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40214322144 its reverse (44122341204), we get a palindrome (84336663348).

The spelling of 40214322144 in words is "forty billion, two hundred fourteen million, three hundred twenty-two thousand, one hundred forty-four".