41093664480 has 576 divisors, whose sum is σ = 160996792320. Its totient is φ = 9452851200.

The previous prime is 41093664461. The next prime is 41093664499. The reversal of 41093664480 is 8446639014.

41093664480 is a `hidden beast` number, since 4 + 109 + 3 + 6 + 64 + 480 = 666.

41093664480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41093664461) and next prime (41093664499).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26024331 + ... + 26025909.

It is an arithmetic number, because the mean of its divisors is an integer number (279508320).

Almost surely, 2^41093664480 is an apocalyptic number.

41093664480 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 41093664480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80498396160).

41093664480 is an abundant number, since it is smaller than the sum of its proper divisors (119903127840).

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

41093664480 is a wasteful number, since it uses less digits than its factorization.

41093664480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 41093664480 in words is "forty-one billion, ninety-three million, six hundred sixty-four thousand, four hundred eighty".