73141862400 has 270 divisors, whose sum is σ = 262015614042. Its totient is φ = 19503513600.

The previous prime is 73141862369. The next prime is 73141862401. The reversal of 73141862400 is 426814137.

73141862400 is a `hidden beast` number, since 7 + 3 + 14 + 18 + 624 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 681836544 + 72460025856 = 26112^2 + 269184^2 .

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 (73141862401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3676480 + ... + 3696320.

Almost surely, 2^73141862400 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 73141862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131007807021).

73141862400 is an abundant number, since it is smaller than the sum of its proper divisors (188873751642).

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

73141862400 is a wasteful number, since it uses less digits than its factorization.

73141862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19885 (or 19851 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 73141862400 in words is "seventy-three billion, one hundred forty-one million, eight hundred sixty-two thousand, four hundred".