21221433496800 has 576 divisors, whose sum is σ = 81599037327360. Its totient is φ = 5310864599040.

The previous prime is 21221433496793. The next prime is 21221433496819. The reversal of 21221433496800 is 869433412212.

21221433496800 is a `hidden beast` number, since 2 + 1 + 221 + 4 + 3 + 349 + 6 + 80 + 0 = 666.

It is a super-2 number, since 2×21221433496800² (a number of 27 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 95 ways as a sum of consecutive naturals, for example, 25927417 + ... + 26733383.

It is an arithmetic number, because the mean of its divisors is an integer number (141664995360).

Almost surely, 2^{21221433496800} is an apocalyptic number.

21221433496800 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 21221433496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40799518663680).

21221433496800 is an abundant number, since it is smaller than the sum of its proper divisors (60377603830560).

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

21221433496800 is a wasteful number, since it uses less digits than its factorization.

21221433496800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806072 (or 806053 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 21221433496800 in words is "twenty-one trillion, two hundred twenty-one billion, four hundred thirty-three million, four hundred ninety-six thousand, eight hundred".