40873144320 has 624 divisors, whose sum is σ = 151127488512. Its totient is φ = 10590289920.

The previous prime is 40873144309. The next prime is 40873144327. The reversal of 40873144320 is 2344137804.

It is a super-2 number, since 2×40873144320² (a number of 22 digits) contains 22 as substring.

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 (40873144327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213995425 + ... + 213995615.

It is an arithmetic number, because the mean of its divisors is an integer number (242191488).

Almost surely, 2^40873144320 is an apocalyptic number.

40873144320 is a gapful number since it is divisible by the number (40) 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 40873144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75563744256).

40873144320 is an abundant number, since it is smaller than the sum of its proper divisors (110254344192).

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

40873144320 is an equidigital number, since it uses as much as digits as its factorization.

40873144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 244 counting only the distinct ones).

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

It can be divided in two parts, 40873 and 144320, that added together give a cube (185193 = 57³).

The spelling of 40873144320 in words is "forty billion, eight hundred seventy-three million, one hundred forty-four thousand, three hundred twenty".