41441002101000 has 192 divisors, whose sum is σ = 140240807291520. Its totient is φ = 11037504297600.

The previous prime is 41441002100983. The next prime is 41441002101017. The reversal of 41441002101000 is 10120014414.

41441002101000 is a `hidden beast` number, since 4 + 1 + 441 + 0 + 0 + 210 + 10 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41441002100983) and next prime (41441002101017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4609579 + ... + 10204421.

It is an arithmetic number, because the mean of its divisors is an integer number (730420871310).

Almost surely, 2^{41441002101000} is an apocalyptic number.

41441002101000 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 41441002101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70120403645760).

41441002101000 is an abundant number, since it is smaller than the sum of its proper divisors (98799805190520).

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

41441002101000 is a wasteful number, since it uses less digits than its factorization.

41441002101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5595693 (or 5595676 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 41441002101000 its reverse (10120014414), we get a palindrome (41451122115414).

The spelling of 41441002101000 in words is "forty-one trillion, four hundred forty-one billion, two million, one hundred one thousand".