40042341134144 has 28 divisors (see below), whose sum is σ = 82198986922500. Its totient is φ = 19330785374208.

The previous prime is 40042341134093. The next prime is 40042341134149. The reversal of 40042341134144 is 44143114324004.

It can be written as a sum of positive squares in 2 ways, for example, as 28035838932544 + 12006502201600 = 5294888^2 + 3465040^2 .

It is a super-2 number, since 2×40042341134144² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40042341134149) 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, 10787266769 + ... + 10787270480.

It is an arithmetic number, because the mean of its divisors is an integer number (2935678104375).

Almost surely, 2^{40042341134144} is an apocalyptic number.

It is an amenable number.

40042341134144 is an abundant number, since it is smaller than the sum of its proper divisors (42156645788356).

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

40042341134144 is a wasteful number, since it uses less digits than its factorization.

40042341134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21574537290 (or 21574537280 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 40042341134144 its reverse (44143114324004), we get a palindrome (84185455458148).

The spelling of 40042341134144 in words is "forty trillion, forty-two billion, three hundred forty-one million, one hundred thirty-four thousand, one hundred forty-four".