41385012480 has 720 divisors, whose sum is σ = 170950348800. Its totient is φ = 9364045824.

The previous prime is 41385012439. The next prime is 41385012481. The reversal of 41385012480 is 8421058314.

41385012480 is a `hidden beast` number, since 41 + 38 + 501 + 2 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41385012481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92171296 + ... + 92171744.

It is an arithmetic number, because the mean of its divisors is an integer number (237431040).

Almost surely, 2^41385012480 is an apocalyptic number.

41385012480 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 41385012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85475174400).

41385012480 is an abundant number, since it is smaller than the sum of its proper divisors (129565336320).

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

41385012480 is a wasteful number, since it uses less digits than its factorization.

41385012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 41385012480 in words is "forty-one billion, three hundred eighty-five million, twelve thousand, four hundred eighty".