41477345280 has 1248 divisors, whose sum is σ = 182530603008. Its totient is φ = 8493465600.

The previous prime is 41477345267. The next prime is 41477345309. The reversal of 41477345280 is 8254377414.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 679956450 + ... + 679956510.

It is an arithmetic number, because the mean of its divisors is an integer number (146258496).

Almost surely, 2^41477345280 is an apocalyptic number.

41477345280 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 41477345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91265301504).

41477345280 is an abundant number, since it is smaller than the sum of its proper divisors (141053257728).

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

41477345280 is a wasteful number, since it uses less digits than its factorization.

41477345280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 41477345280 in words is "forty-one billion, four hundred seventy-seven million, three hundred forty-five thousand, two hundred eighty".