73441116000 has 576 divisors, whose sum is σ = 310852878336. Its totient is φ = 16055424000.

The previous prime is 73441115987. The next prime is 73441116011. The reversal of 73441116000 is 61114437.

It is a happy number.

73441116000 is a `hidden beast` number, since 7 + 3 + 4 + 41 + 11 + 600 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 5789665 + ... + 5802335.

It is an arithmetic number, because the mean of its divisors is an integer number (539675136).

Almost surely, 2^73441116000 is an apocalyptic number.

73441116000 is a gapful number since it is divisible by the number (70) 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 73441116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155426439168).

73441116000 is an abundant number, since it is smaller than the sum of its proper divisors (237411762336).

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

73441116000 is a wasteful number, since it uses less digits than its factorization.

73441116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12732 (or 12711 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 73441116000 in words is "seventy-three billion, four hundred forty-one million, one hundred sixteen thousand".