21141871296 has 672 divisors, whose sum is σ = 75457751040. Its totient is φ = 5083693056.

The previous prime is 21141871249. The next prime is 21141871321. The reversal of 21141871296 is 69217814112.

It is a tau number, because it is divible by the number of its divisors (672).

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

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, 267618585 + ... + 267618663.

It is an arithmetic number, because the mean of its divisors is an integer number (112288320).

Almost surely, 2^21141871296 is an apocalyptic number.

21141871296 is a gapful number since it is divisible by the number (26) 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 21141871296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37728875520).

21141871296 is an abundant number, since it is smaller than the sum of its proper divisors (54315879744).

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

21141871296 is a wasteful number, since it uses less digits than its factorization.

21141871296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 174 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The spelling of 21141871296 in words is "twenty-one billion, one hundred forty-one million, eight hundred seventy-one thousand, two hundred ninety-six".