4226924770992 has 960 divisors, whose sum is σ = 15565030440960. Its totient is φ = 1078649395200.

The previous prime is 4226924770969. The next prime is 4226924770993. The reversal of 4226924770992 is 2990774296224.

4226924770992 is a `hidden beast` number, since 42 + 269 + 247 + 7 + 0 + 9 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4226924770993) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7402670067 + ... + 7402670637.

It is an arithmetic number, because the mean of its divisors is an integer number (16213573376).

Almost surely, 2^{4226924770992} is an apocalyptic number.

4226924770992 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 4226924770992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7782515220480).

4226924770992 is an abundant number, since it is smaller than the sum of its proper divisors (11338105669968).

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

4226924770992 is a wasteful number, since it uses less digits than its factorization.

4226924770992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 4226924770992 in words is "four trillion, two hundred twenty-six billion, nine hundred twenty-four million, seven hundred seventy thousand, nine hundred ninety-two".