40483048320 has 1280 divisors, whose sum is σ = 175165562880. Its totient is φ = 8778792960.

The previous prime is 40483048301. The next prime is 40483048357. The reversal of 40483048320 is 2384038404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 318764097 + ... + 318764223.

It is an arithmetic number, because the mean of its divisors is an integer number (136848096).

Almost surely, 2^40483048320 is an apocalyptic number.

40483048320 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 40483048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87582781440).

40483048320 is an abundant number, since it is smaller than the sum of its proper divisors (134682514560).

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

40483048320 is a wasteful number, since it uses less digits than its factorization.

40483048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 40483048320 in words is "forty billion, four hundred eighty-three million, forty-eight thousand, three hundred twenty".