10141021440 has 432 divisors, whose sum is σ = 38799371520. Its totient is φ = 2424913920.

The previous prime is 10141021439. The next prime is 10141021447. The reversal of 10141021440 is 4412014101.

10141021440 is a `hidden beast` number, since 1 + 0 + 1 + 410 + 214 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141021447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10010374 + ... + 10011386.

It is an arithmetic number, because the mean of its divisors is an integer number (89813360).

Almost surely, 2^10141021440 is an apocalyptic number.

10141021440 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 10141021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19399685760).

10141021440 is an abundant number, since it is smaller than the sum of its proper divisors (28658350080).

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

10141021440 is a wasteful number, since it uses less digits than its factorization.

10141021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1113 counting only the distinct ones).

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

Adding to 10141021440 its reverse (4412014101), we get a palindrome (14553035541).

The spelling of 10141021440 in words is "ten billion, one hundred forty-one million, twenty-one thousand, four hundred forty".