40341202134144 has 128 divisors (see below), whose sum is σ = 109470858868800. Its totient is φ = 13157975740416.

The previous prime is 40341202134139. The next prime is 40341202134223. The reversal of 40341202134144 is 44143120214304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×40341202134144² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4934227 + ... + 10248365.

Almost surely, 2^{40341202134144} 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 40341202134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54735429434400).

40341202134144 is an abundant number, since it is smaller than the sum of its proper divisors (69129656734656).

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

40341202134144 is a wasteful number, since it uses less digits than its factorization.

40341202134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5314582 (or 5314570 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 40341202134144 its reverse (44143120214304), we get a palindrome (84484322348448).

The spelling of 40341202134144 in words is "forty trillion, three hundred forty-one billion, two hundred two million, one hundred thirty-four thousand, one hundred forty-four".