40441324411134 has 384 divisors, whose sum is σ = 98537373462528. Its totient is φ = 12398692965120.

The previous prime is 40441324411129. The next prime is 40441324411181. The reversal of 40441324411134 is 43111442314404.

40441324411134 is a `hidden beast` number, since 4 + 0 + 44 + 132 + 441 + 11 + 34 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34070196889 + ... + 34070198075.

It is an arithmetic number, because the mean of its divisors is an integer number (256607743392).

Almost surely, 2^{40441324411134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40441324411134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49268686731264).

40441324411134 is an abundant number, since it is smaller than the sum of its proper divisors (58096049051394).

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

40441324411134 is a wasteful number, since it uses less digits than its factorization.

40441324411134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 40441324411134 its reverse (43111442314404), we get a palindrome (83552766725538).

The spelling of 40441324411134 in words is "forty trillion, four hundred forty-one billion, three hundred twenty-four million, four hundred eleven thousand, one hundred thirty-four".