40488823296000 has 1872 divisors, whose sum is σ = 160705821772080. Its totient is φ = 10147568025600.

The previous prime is 40488823295923. The next prime is 40488823296001. The reversal of 40488823296000 is 69232888404.

40488823296000 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 8 + 8 + 2 + 3 + 29 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15359376162816 + 25129447133184 = 3919104^2 + 5012928^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40488823296001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57106943646 + ... + 57106944354.

It is an arithmetic number, because the mean of its divisors is an integer number (85847127015).

Almost surely, 2^{40488823296000} is an apocalyptic number.

40488823296000 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 40488823296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352910886040).

40488823296000 is an abundant number, since it is smaller than the sum of its proper divisors (120216998476080).

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

40488823296000 is an frugal number, since it uses more digits than its factorization.

40488823296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 40488823296000 in words is "forty trillion, four hundred eighty-eight billion, eight hundred twenty-three million, two hundred ninety-six thousand".