10041150544000 has 128 divisors (see below), whose sum is σ = 25016948236800. Its totient is φ = 4008072064000.

The previous prime is 10041150543961. The next prime is 10041150544003. The reversal of 10041150544000 is 44505114001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10041150544003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7008915 + ... + 8319085.

It is an arithmetic number, because the mean of its divisors is an integer number (195444908100).

Almost surely, 2^{10041150544000} is an apocalyptic number.

10041150544000 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 10041150544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12508474118400).

10041150544000 is an abundant number, since it is smaller than the sum of its proper divisors (14975797692800).

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

10041150544000 is an equidigital number, since it uses as much as digits as its factorization.

10041150544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310679 (or 1310657 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 10041150544000 its reverse (44505114001), we get a palindrome (10085655658001).

The spelling of 10041150544000 in words is "ten trillion, forty-one billion, one hundred fifty million, five hundred forty-four thousand".