10041001041000 has 512 divisors, whose sum is σ = 33719961600000. Its totient is φ = 2480133427200.

The previous prime is 10041001040989. The next prime is 10041001041011. The reversal of 10041001041000 is 14010014001.

It is an interprime number because it is at equal distance from previous prime (10041001040989) and next prime (10041001041011).

It is a super-3 number, since 3×10041001041000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 463798176 + ... + 463819824.

It is an arithmetic number, because the mean of its divisors is an integer number (65859300000).

Almost surely, 2^{10041001041000} is an apocalyptic number.

10041001041000 is a gapful number since it is divisible by the number (10) 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 10041001041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16859980800000).

10041001041000 is an abundant number, since it is smaller than the sum of its proper divisors (23678960559000).

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

10041001041000 is a wasteful number, since it uses less digits than its factorization.

10041001041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21874 (or 21860 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10041001041000 its reverse (14010014001), we get a palindrome (10055011055001).

The spelling of 10041001041000 in words is "ten trillion, forty-one billion, one million, forty-one thousand".