10104141221440 has 224 divisors, whose sum is σ = 29135005772544. Its totient is φ = 3258279198720.

The previous prime is 10104141221407. The next prime is 10104141221453. The reversal of 10104141221440 is 4412214140101.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56383180 + ... + 56562100.

It is an arithmetic number, because the mean of its divisors is an integer number (130066990056).

Almost surely, 2^{10104141221440} is an apocalyptic number.

10104141221440 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 10104141221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14567502886272).

10104141221440 is an abundant number, since it is smaller than the sum of its proper divisors (19030864551104).

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

10104141221440 is a wasteful number, since it uses less digits than its factorization.

10104141221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180445 (or 180435 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 10104141221440 its reverse (4412214140101), we get a palindrome (14516355361541).

The spelling of 10104141221440 in words is "ten trillion, one hundred four billion, one hundred forty-one million, two hundred twenty-one thousand, four hundred forty".