73131244416000 has 704 divisors, whose sum is σ = 284517148032000. Its totient is φ = 18475245158400.

The previous prime is 73131244415951. The next prime is 73131244416001. The reversal of 73131244416000 is 61444213137.

73131244416000 is a `hidden beast` number, since 7 + 3 + 1 + 3 + 1 + 2 + 4 + 4 + 41 + 600 + 0 = 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 (73131244416001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65107141 + ... + 66220859.

Almost surely, 2^{73131244416000} 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 73131244416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142258574016000).

73131244416000 is an abundant number, since it is smaller than the sum of its proper divisors (211385903616000).

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

73131244416000 is a wasteful number, since it uses less digits than its factorization.

73131244416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113782 (or 1113748 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 73131244416000 its reverse (61444213137), we get a palindrome (73192688629137).

The spelling of 73131244416000 in words is "seventy-three trillion, one hundred thirty-one billion, two hundred forty-four million, four hundred sixteen thousand".