41145808896 has 192 divisors, whose sum is σ = 123439680000. Its totient is φ = 13540220928.

The previous prime is 41145808889. The next prime is 41145808903. The reversal of 41145808896 is 69880854114.

It is a happy number.

41145808896 is a `hidden beast` number, since 41 + 14 + 580 + 8 + 8 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (41145808889) and next prime (41145808903).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4363675 + ... + 4373093.

It is an arithmetic number, because the mean of its divisors is an integer number (642915000).

Almost surely, 2^41145808896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41145808896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61719840000).

41145808896 is an abundant number, since it is smaller than the sum of its proper divisors (82293871104).

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

41145808896 is an equidigital number, since it uses as much as digits as its factorization.

41145808896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9529 (or 9503 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 41145808896 in words is "forty-one billion, one hundred forty-five million, eight hundred eight thousand, eight hundred ninety-six".