41534700480 has 560 divisors, whose sum is σ = 181851848640. Its totient is φ = 8762867712.

The previous prime is 41534700437. The next prime is 41534700563. The reversal of 41534700480 is 8400743514.

41534700480 is a `hidden beast` number, since 41 + 534 + 7 + 0 + 0 + 4 + 80 = 666.

41534700480 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 (36).

It is a congruent number.

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, 2349916 + ... + 2367524.

It is an arithmetic number, because the mean of its divisors is an integer number (324735444).

Almost surely, 2^41534700480 is an apocalyptic number.

41534700480 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 41534700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90925924320).

41534700480 is an abundant number, since it is smaller than the sum of its proper divisors (140317148160).

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

41534700480 is a wasteful number, since it uses less digits than its factorization.

41534700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17658 (or 17639 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 41534700480 in words is "forty-one billion, five hundred thirty-four million, seven hundred thousand, four hundred eighty".