41493880480 has 288 divisors, whose sum is σ = 111802892544. Its totient is φ = 14517854208.

The previous prime is 41493880453. The next prime is 41493880501. The reversal of 41493880480 is 8408839414.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 85202797 + ... + 85203283.

It is an arithmetic number, because the mean of its divisors is an integer number (388204488).

Almost surely, 2^41493880480 is an apocalyptic number.

41493880480 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 41493880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55901446272).

41493880480 is an abundant number, since it is smaller than the sum of its proper divisors (70309012064).

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

41493880480 is a wasteful number, since it uses less digits than its factorization.

41493880480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

The spelling of 41493880480 in words is "forty-one billion, four hundred ninety-three million, eight hundred eighty thousand, four hundred eighty".