4221774772992 has 864 divisors, whose sum is σ = 14700905856000. Its totient is φ = 1139793887232.

The previous prime is 4221774772949. The next prime is 4221774773057. The reversal of 4221774772992 is 2992774771224.

4221774772992 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 77 + 477 + 2 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

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, 6236003758 + ... + 6236004434.

Almost surely, 2^{4221774772992} is an apocalyptic number.

4221774772992 is a gapful number since it is divisible by the number (42) 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 4221774772992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7350452928000).

4221774772992 is an abundant number, since it is smaller than the sum of its proper divisors (10479131083008).

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

4221774772992 is a wasteful number, since it uses less digits than its factorization.

4221774772992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 984 counting only the distinct ones).

The product of its digits is 49787136, while the sum is 63.

The spelling of 4221774772992 in words is "four trillion, two hundred twenty-one billion, seven hundred seventy-four million, seven hundred seventy-two thousand, nine hundred ninety-two".