41101002000 has 360 divisors, whose sum is σ = 152512361352. Its totient is φ = 10314240000.

The previous prime is 41101001987. The next prime is 41101002011. The reversal of 41101002000 is 20010114.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 13370759424 + 27730242576 = 115632^2 + 166524^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 5198050 + ... + 5205950.

Almost surely, 2^41101002000 is an apocalyptic number.

41101002000 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 41101002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76256180676).

41101002000 is an abundant number, since it is smaller than the sum of its proper divisors (111411359352).

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

41101002000 is a wasteful number, since it uses less digits than its factorization.

41101002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7964 (or 7928 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 41101002000 its reverse (20010114), we get a palindrome (41121012114).

The spelling of 41101002000 in words is "forty-one billion, one hundred one million, two thousand".