41011660800 has 1440 divisors, whose sum is σ = 176951174400. Its totient is φ = 9289728000.

The previous prime is 41011660793. The next prime is 41011660861. The reversal of 41011660800 is 806611014.

41011660800 is a `hidden beast` number, since 41 + 0 + 1 + 16 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1322956785 + ... + 1322956815.

It is an arithmetic number, because the mean of its divisors is an integer number (122882760).

Almost surely, 2^41011660800 is an apocalyptic number.

41011660800 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 41011660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88475587200).

41011660800 is an abundant number, since it is smaller than the sum of its proper divisors (135939513600).

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

41011660800 is a wasteful number, since it uses less digits than its factorization.

41011660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 41011660800 in words is "forty-one billion, eleven million, six hundred sixty thousand, eight hundred".