41414520000 has 560 divisors, whose sum is σ = 159968793600. Its totient is φ = 9255936000.

The previous prime is 41414519999. The next prime is 41414520083. The reversal of 41414520000 is 2541414.

It is a happy number.

41414520000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39479476 + ... + 39480524.

It is an arithmetic number, because the mean of its divisors is an integer number (285658560).

Almost surely, 2^41414520000 is an apocalyptic number.

41414520000 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 41414520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79984396800).

41414520000 is an abundant number, since it is smaller than the sum of its proper divisors (118554273600).

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

41414520000 is a wasteful number, since it uses less digits than its factorization.

41414520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The spelling of 41414520000 in words is "forty-one billion, four hundred fourteen million, five hundred twenty thousand".