21140144555544 has 512 divisors, whose sum is σ = 71429029632000. Its totient is φ = 5655233396736.

The previous prime is 21140144555539. The next prime is 21140144555567. The reversal of 21140144555544 is 44555544104112.

21140144555544 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 0 + 1 + 44 + 55 + 554 + 4 = 666.

It is a super-2 number, since 2×21140144555544² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21140144555544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5718187104 + ... + 5718190800.

It is an arithmetic number, because the mean of its divisors is an integer number (139509823500).

Almost surely, 2^{21140144555544} is an apocalyptic number.

21140144555544 is a gapful number since it is divisible by the number (24) 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 21140144555544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35714514816000).

21140144555544 is an abundant number, since it is smaller than the sum of its proper divisors (50288885076456).

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

21140144555544 is a wasteful number, since it uses less digits than its factorization.

21140144555544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 1280000, while the sum is 45.

Adding to 21140144555544 its reverse (44555544104112), we get a palindrome (65695688659656).

The spelling of 21140144555544 in words is "twenty-one trillion, one hundred forty billion, one hundred forty-four million, five hundred fifty-five thousand, five hundred forty-four".