21014010144 has 144 divisors (see below), whose sum is σ = 62064999360. Its totient is φ = 6994149120.

The previous prime is 21014010119. The next prime is 21014010163. The reversal of 21014010144 is 44101041012.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6522454 + ... + 6525674.

It is an arithmetic number, because the mean of its divisors is an integer number (431006940).

Almost surely, 2^21014010144 is an apocalyptic number.

21014010144 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 21014010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31032499680).

21014010144 is an abundant number, since it is smaller than the sum of its proper divisors (41050989216).

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

21014010144 is an equidigital number, since it uses as much as digits as its factorization.

21014010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4085 (or 4065 counting only the distinct ones).

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

Adding to 21014010144 its reverse (44101041012), we get a palindrome (65115051156).

The spelling of 21014010144 in words is "twenty-one billion, fourteen million, ten thousand, one hundred forty-four".