41476720320 has 1008 divisors, whose sum is σ = 180685440000. Its totient is φ = 8674283520.

The previous prime is 41476720303. The next prime is 41476720321. The reversal of 41476720320 is 2302767414.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41476720321) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 83119431 + ... + 83119929.

Almost surely, 2^41476720320 is an apocalyptic number.

41476720320 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 41476720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90342720000).

41476720320 is an abundant number, since it is smaller than the sum of its proper divisors (139208719680).

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

41476720320 is a wasteful number, since it uses less digits than its factorization.

41476720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 41476720320 in words is "forty-one billion, four hundred seventy-six million, seven hundred twenty thousand, three hundred twenty".