21428880480 has 240 divisors, whose sum is σ = 86430183840. Its totient is φ = 4898009088.

The previous prime is 21428880439. The next prime is 21428880493. The reversal of 21428880480 is 8408882412.

21428880480 is a `hidden beast` number, since 2 + 14 + 2 + 88 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×21428880480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27385 + ... + 208824.

It is an arithmetic number, because the mean of its divisors is an integer number (360125766).

Almost surely, 2^21428880480 is an apocalyptic number.

21428880480 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 21428880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43215091920).

21428880480 is an abundant number, since it is smaller than the sum of its proper divisors (65001303360).

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

21428880480 is a wasteful number, since it uses less digits than its factorization.

21428880480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236243 (or 236226 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 21428880480 in words is "twenty-one billion, four hundred twenty-eight million, eight hundred eighty thousand, four hundred eighty".