73121434214400 has 5376 divisors, whose sum is σ = 345113111347200. Its totient is φ = 14906032128000.

The previous prime is 73121434214383. The next prime is 73121434214401. The reversal of 73121434214400 is 441243412137.

73121434214400 is a `hidden beast` number, since 7 + 3 + 1 + 2 + 1 + 4 + 34 + 214 + 400 = 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 (73121434214401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 465741619122 + ... + 465741619278.

It is an arithmetic number, because the mean of its divisors is an integer number (64195147200).

Almost surely, 2^{73121434214400} 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 73121434214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172556555673600).

73121434214400 is an abundant number, since it is smaller than the sum of its proper divisors (271991677132800).

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

73121434214400 is a wasteful number, since it uses less digits than its factorization.

73121434214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 73121434214400 its reverse (441243412137), we get a palindrome (73562677626537).

The spelling of 73121434214400 in words is "seventy-three trillion, one hundred twenty-one billion, four hundred thirty-four million, two hundred fourteen thousand, four hundred".