21471001080480 has 576 divisors, whose sum is σ = 90237598940160. Its totient is φ = 4749344409600.

The previous prime is 21471001080433. The next prime is 21471001080499. The reversal of 21471001080480 is 8408010017412.

21471001080480 is a `hidden beast` number, since 2 + 1 + 4 + 71 + 0 + 0 + 108 + 0 + 480 = 666.

It is a super-2 number, since 2×21471001080480² (a number of 27 digits) contains 22 as substring.

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

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, 4926090 + ... + 8198070.

It is an arithmetic number, because the mean of its divisors is an integer number (156662498160).

Almost surely, 2^{21471001080480} is an apocalyptic number.

21471001080480 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 21471001080480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45118799470080).

21471001080480 is an abundant number, since it is smaller than the sum of its proper divisors (68766597859680).

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

21471001080480 is a wasteful number, since it uses less digits than its factorization.

21471001080480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272050 (or 3272029 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

Adding to 21471001080480 its reverse (8408010017412), we get a palindrome (29879011097892).

The spelling of 21471001080480 in words is "twenty-one trillion, four hundred seventy-one billion, one million, eighty thousand, four hundred eighty".