2434133404000 has 96 divisors (see below), whose sum is σ = 5981168977056. Its totient is φ = 973571443200.

The previous prime is 2434133403979. The next prime is 2434133404057. The reversal of 2434133404000 is 4043314342.

It is a self number, because there is not a number n which added to its sum of digits gives 2434133404000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75011779 + ... + 75044221.

It is an arithmetic number, because the mean of its divisors is an integer number (62303843511).

Almost surely, 2^{2434133404000} is an apocalyptic number.

2434133404000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434133404000 is an abundant number, since it is smaller than the sum of its proper divisors (3547035573056).

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

2434133404000 is a wasteful number, since it uses less digits than its factorization.

2434133404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51225 (or 51207 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 2434133404000 its reverse (4043314342), we get a palindrome (2438176718342).

The spelling of 2434133404000 in words is "two trillion, four hundred thirty-four billion, one hundred thirty-three million, four hundred four thousand".