4221533282400 has 1296 divisors, whose sum is σ = 18515807724960. Its totient is φ = 885886156800.

The previous prime is 4221533282399. The next prime is 4221533282443. The reversal of 4221533282400 is 42823351224.

4221533282400 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 533 + 2 + 82 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 597186066 + ... + 597193134.

Almost surely, 2^{4221533282400} is an apocalyptic number.

4221533282400 is a gapful number since it is divisible by the number (40) 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 4221533282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9257903862480).

4221533282400 is an abundant number, since it is smaller than the sum of its proper divisors (14294274442560).

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

4221533282400 is a wasteful number, since it uses less digits than its factorization.

4221533282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7177 (or 7144 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 4221533282400 in words is "four trillion, two hundred twenty-one billion, five hundred thirty-three million, two hundred eighty-two thousand, four hundred".