21484031969280 has 384 divisors, whose sum is σ = 70338657916800. Its totient is φ = 5596121137152.

The previous prime is 21484031969269. The next prime is 21484031969291. The reversal of 21484031969280 is 8296913048412.

It is an interprime number because it is at equal distance from previous prime (21484031969269) and next prime (21484031969291).

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 21484031969280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369563256 + ... + 369621384.

It is an arithmetic number, because the mean of its divisors is an integer number (183173588325).

Almost surely, 2^{21484031969280} is an apocalyptic number.

21484031969280 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 21484031969280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35169328958400).

21484031969280 is an abundant number, since it is smaller than the sum of its proper divisors (48854625947520).

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

21484031969280 is a wasteful number, since it uses less digits than its factorization.

21484031969280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58439 (or 58419 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 21484031969280 in words is "twenty-one trillion, four hundred eighty-four billion, thirty-one million, nine hundred sixty-nine thousand, two hundred eighty".