41010816000 has 1408 divisors, whose sum is σ = 181482762240. Its totient is φ = 7962624000.

The previous prime is 41010815971. The next prime is 41010816013. The reversal of 41010816000 is 61801014.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 561791964 + ... + 561792036.

Almost surely, 2^41010816000 is an apocalyptic number.

41010816000 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 41010816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90741381120).

41010816000 is an abundant number, since it is smaller than the sum of its proper divisors (140471946240).

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

41010816000 is a wasteful number, since it uses less digits than its factorization.

41010816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The spelling of 41010816000 in words is "forty-one billion, ten million, eight hundred sixteen thousand".