10021241131440 has 960 divisors, whose sum is σ = 41541791155200. Its totient is φ = 1950506680320.

The previous prime is 10021241131423. The next prime is 10021241131457. The reversal of 10021241131440 is 4413114212001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10021241131423) and next prime (10021241131457).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10021241131440.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 343731904 + ... + 343761056.

It is an arithmetic number, because the mean of its divisors is an integer number (43272699120).

Almost surely, 2^{10021241131440} is an apocalyptic number.

10021241131440 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 10021241131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20770895577600).

10021241131440 is an abundant number, since it is smaller than the sum of its proper divisors (31520550023760).

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

10021241131440 is a wasteful number, since it uses less digits than its factorization.

10021241131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29306 (or 29289 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10021241131440 its reverse (4413114212001), we get a palindrome (14434355343441).

The spelling of 10021241131440 in words is "ten trillion, twenty-one billion, two hundred forty-one million, one hundred thirty-one thousand, four hundred forty".