4221201600000 has 3360 divisors, whose sum is σ = 20125213903872. Its totient is φ = 858470400000.

The previous prime is 4221201599861. The next prime is 4221201600017. The reversal of 4221201600000 is 61021224.

4221201600000 is a `hidden beast` number, since 42 + 2 + 1 + 20 + 1 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 89812799977 + ... + 89812800023.

Almost surely, 2^{4221201600000} is an apocalyptic number.

4221201600000 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 4221201600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10062606951936).

4221201600000 is an abundant number, since it is smaller than the sum of its proper divisors (15904012303872).

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

4221201600000 is an frugal number, since it uses more digits than its factorization.

4221201600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 4221201600000 its reverse (61021224), we get a palindrome (4221262621224).

The spelling of 4221201600000 in words is "four trillion, two hundred twenty-one billion, two hundred one million, six hundred thousand".