40134233243104 has 192 divisors, whose sum is σ = 106100645478912. Its totient is φ = 14432318208000.

The previous prime is 40134233243087. The next prime is 40134233243173.

40134233243104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40134233243104² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40134233243104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317085559 + ... + 317212105.

It is an arithmetic number, because the mean of its divisors is an integer number (552607528536).

Almost surely, 2^{40134233243104} is an apocalyptic number.

40134233243104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40134233243104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53050322739456).

40134233243104 is an abundant number, since it is smaller than the sum of its proper divisors (65966412235808).

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

40134233243104 is a wasteful number, since it uses less digits than its factorization.

40134233243104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136489 (or 136481 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 4013423 and 3243104, that added together give a palindrome (7256527).

The spelling of 40134233243104 in words is "forty trillion, one hundred thirty-four billion, two hundred thirty-three million, two hundred forty-three thousand, one hundred four".