40330459680 has 192 divisors, whose sum is σ = 145274508288. Its totient is φ = 9213004800.

The previous prime is 40330459633. The next prime is 40330459693. The reversal of 40330459680 is 8695403304.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 9953655 + ... + 9957705.

It is an arithmetic number, because the mean of its divisors is an integer number (756638064).

Almost surely, 2^40330459680 is an apocalyptic number.

40330459680 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 40330459680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72637254144).

40330459680 is an abundant number, since it is smaller than the sum of its proper divisors (104944048608).

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

40330459680 is a wasteful number, since it uses less digits than its factorization.

40330459680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7039 (or 7031 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 40330459680 in words is "forty billion, three hundred thirty million, four hundred fifty-nine thousand, six hundred eighty".