21434941440 has 480 divisors, whose sum is σ = 83233422720. Its totient is φ = 5190451200.

The previous prime is 21434941439. The next prime is 21434941441. The reversal of 21434941440 is 4414943412.

It is a happy number.

21434941440 is a `hidden beast` number, since 21 + 4 + 3 + 494 + 144 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21434941439) and next prime (21434941441).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21434941395 and 21434941404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21434941441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24329800 + ... + 24330680.

It is an arithmetic number, because the mean of its divisors is an integer number (173402964).

Almost surely, 2^21434941440 is an apocalyptic number.

21434941440 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 21434941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41616711360).

21434941440 is an abundant number, since it is smaller than the sum of its proper divisors (61798481280).

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

21434941440 is an equidigital number, since it uses as much as digits as its factorization.

21434941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

21434941440 divided by its product of nonzero digits (55296) gives a triangular number (387640 = T₈₈₀).

The spelling of 21434941440 in words is "twenty-one billion, four hundred thirty-four million, nine hundred forty-one thousand, four hundred forty".