12435440041152 has 224 divisors, whose sum is σ = 37098419072000. Its totient is φ = 4084263254016.

The previous prime is 12435440041109. The next prime is 12435440041159. The reversal of 12435440041152 is 25114004453421.

12435440041152 is a `hidden beast` number, since 1 + 24 + 3 + 5 + 440 + 0 + 41 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12435440041159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35243268 + ... + 35594364.

Almost surely, 2^{12435440041152} is an apocalyptic number.

12435440041152 is a gapful number since it is divisible by the number (12) 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 12435440041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18549209536000).

12435440041152 is an abundant number, since it is smaller than the sum of its proper divisors (24662979030848).

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

12435440041152 is a wasteful number, since it uses less digits than its factorization.

12435440041152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351420 (or 351404 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 12435440041152 its reverse (25114004453421), we get a palindrome (37549444494573).

The spelling of 12435440041152 in words is "twelve trillion, four hundred thirty-five billion, four hundred forty million, forty-one thousand, one hundred fifty-two".