4221188643672 has 256 divisors, whose sum is σ = 15743361715200. Its totient is φ = 1012073149440.

The previous prime is 4221188643671. The next prime is 4221188643677. The reversal of 4221188643672 is 2763468811224.

4221188643672 is a `hidden beast` number, since 4 + 2 + 21 + 188 + 6 + 436 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221188643671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9545293 + ... + 9977724.

It is an arithmetic number, because the mean of its divisors is an integer number (61497506700).

Almost surely, 2^{4221188643672} is an apocalyptic number.

4221188643672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4221188643672 is an abundant number, since it is smaller than the sum of its proper divisors (11522173071528).

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

4221188643672 is a wasteful number, since it uses less digits than its factorization.

4221188643672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19523063 (or 19523053 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 4221188643672 in words is "four trillion, two hundred twenty-one billion, one hundred eighty-eight million, six hundred forty-three thousand, six hundred seventy-two".