40782488320 has 216 divisors, whose sum is σ = 113921056368. Its totient is φ = 13947494400.

The previous prime is 40782488293. The next prime is 40782488347. The reversal of 40782488320 is 2388428704.

It is an interprime number because it is at equal distance from previous prime (40782488293) and next prime (40782488347).

It is a super-2 number, since 2×40782488320² (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 43339050 + ... + 43339990.

It is an arithmetic number, because the mean of its divisors is an integer number (527412298).

Almost surely, 2^40782488320 is an apocalyptic number.

40782488320 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 40782488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56960528184).

40782488320 is an abundant number, since it is smaller than the sum of its proper divisors (73138568048).

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

40782488320 is an equidigital number, since it uses as much as digits as its factorization.

40782488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 46.

The spelling of 40782488320 in words is "forty billion, seven hundred eighty-two million, four hundred eighty-eight thousand, three hundred twenty".