21140104425440 has 576 divisors, whose sum is σ = 68881034819520. Its totient is φ = 6026432348160.

The previous prime is 21140104425403. The next prime is 21140104425469. The reversal of 21140104425440 is 4452440104112.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 21140104425397 and 21140104425406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122115584 + ... + 122288576.

It is an arithmetic number, because the mean of its divisors is an integer number (119585129895).

Almost surely, 2^{21140104425440} is an apocalyptic number.

21140104425440 is a gapful number since it is divisible by the number (20) 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 21140104425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34440517409760).

21140104425440 is an abundant number, since it is smaller than the sum of its proper divisors (47740930394080).

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

21140104425440 is a wasteful number, since it uses less digits than its factorization.

21140104425440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173155 (or 173140 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

Adding to 21140104425440 its reverse (4452440104112), we get a palindrome (25592544529552).

The spelling of 21140104425440 in words is "twenty-one trillion, one hundred forty billion, one hundred four million, four hundred twenty-five thousand, four hundred forty".