40221134144 has 28 divisors (see below), whose sum is σ = 80588717664. Its totient is φ = 19915315584.

The previous prime is 40221134141. The next prime is 40221134153. The reversal of 40221134144 is 44143112204.

40221134144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40221134144² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40221134141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3044162 + ... + 3057345.

It is an arithmetic number, because the mean of its divisors is an integer number (2878168488).

Almost surely, 2^40221134144 is an apocalyptic number.

It is an amenable number.

40221134144 is an abundant number, since it is smaller than the sum of its proper divisors (40367583520).

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

40221134144 is a wasteful number, since it uses less digits than its factorization.

40221134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6101622 (or 6101612 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 40221134144 its reverse (44143112204), we get a palindrome (84364246348).

The spelling of 40221134144 in words is "forty billion, two hundred twenty-one million, one hundred thirty-four thousand, one hundred forty-four".