41001778800 has 360 divisors, whose sum is σ = 148903167504. Its totient is φ = 10834145280.

The previous prime is 41001778799. The next prime is 41001778813. The reversal of 41001778800 is 887710014.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×41001778800² (a number of 22 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 10981734 + ... + 10985466.

Almost surely, 2^41001778800 is an apocalyptic number.

41001778800 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 41001778800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74451583752).

41001778800 is an abundant number, since it is smaller than the sum of its proper divisors (107901388704).

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

41001778800 is a wasteful number, since it uses less digits than its factorization.

41001778800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 41001778800 in words is "forty-one billion, one million, seven hundred seventy-eight thousand, eight hundred".