21296038021440 has 448 divisors, whose sum is σ = 83233608105984. Its totient is φ = 4492406956032.

The previous prime is 21296038021403. The next prime is 21296038021457. The reversal of 21296038021440 is 4412083069212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 21296038021392 and 21296038021401.

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 63 ways as a sum of consecutive naturals, for example, 556201977 + ... + 556240263.

It is an arithmetic number, because the mean of its divisors is an integer number (185789303808).

Almost surely, 2^{21296038021440} is an apocalyptic number.

21296038021440 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 21296038021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41616804052992).

21296038021440 is an abundant number, since it is smaller than the sum of its proper divisors (61937570084544).

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

21296038021440 is a wasteful number, since it uses less digits than its factorization.

21296038021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44694 (or 44684 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 21296038021440 in words is "twenty-one trillion, two hundred ninety-six billion, thirty-eight million, twenty-one thousand, four hundred forty".