41399947680 has 768 divisors, whose sum is σ = 171674173440. Its totient is φ = 8137801728.

The previous prime is 41399947679. The next prime is 41399947739. The reversal of 41399947680 is 8674999314.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94304901 + ... + 94305339.

It is an arithmetic number, because the mean of its divisors is an integer number (223534080).

Almost surely, 2^41399947680 is an apocalyptic number.

41399947680 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 41399947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85837086720).

41399947680 is an abundant number, since it is smaller than the sum of its proper divisors (130274225760).

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

41399947680 is a wasteful number, since it uses less digits than its factorization.

41399947680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 41399947680 in words is "forty-one billion, three hundred ninety-nine million, nine hundred forty-seven thousand, six hundred eighty".