873292343040 has 432 divisors, whose sum is σ = 3260673928512. Its totient is φ = 214518398976.

The previous prime is 873292343039. The next prime is 873292343047. The reversal of 873292343040 is 40343292378.

873292343040 is a `hidden beast` number, since 87 + 32 + 9 + 234 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873292343047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75323484 + ... + 75335076.

It is an arithmetic number, because the mean of its divisors is an integer number (7547856316).

Almost surely, 2^873292343040 is an apocalyptic number.

873292343040 is a gapful number since it is divisible by the number (80) 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 873292343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630336964256).

873292343040 is an abundant number, since it is smaller than the sum of its proper divisors (2387381585472).

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

873292343040 is a wasteful number, since it uses less digits than its factorization.

873292343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12136 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 873292343040 in words is "eight hundred seventy-three billion, two hundred ninety-two million, three hundred forty-three thousand, forty".