41482068480 has 240 divisors, whose sum is σ = 143897307840. Its totient is φ = 11043938304.

The previous prime is 41482068451. The next prime is 41482068493. The reversal of 41482068480 is 8486028414.

41482068480 is a `hidden beast` number, since 4 + 148 + 20 + 6 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20343301 + ... + 20345339.

It is an arithmetic number, because the mean of its divisors is an integer number (599572116).

Almost surely, 2^41482068480 is an apocalyptic number.

41482068480 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 41482068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71948653920).

41482068480 is an abundant number, since it is smaller than the sum of its proper divisors (102415239360).

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

41482068480 is a wasteful number, since it uses less digits than its factorization.

41482068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 41482068480 in words is "forty-one billion, four hundred eighty-two million, sixty-eight thousand, four hundred eighty".