4224819434976 has 96 divisors (see below), whose sum is σ = 14082731470080. Its totient is φ = 1207091265408.

The previous prime is 4224819434971. The next prime is 4224819434999. The reversal of 4224819434976 is 6794349184224.

4224819434976 is a `hidden beast` number, since 4 + 2 + 2 + 481 + 9 + 43 + 49 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224819434971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349268046 + ... + 349280141.

It is an arithmetic number, because the mean of its divisors is an integer number (146695119480).

Almost surely, 2^{4224819434976} is an apocalyptic number.

It is an amenable number.

4224819434976 is an abundant number, since it is smaller than the sum of its proper divisors (9857912035104).

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

4224819434976 is a wasteful number, since it uses less digits than its factorization.

4224819434976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698548213 (or 698548199 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 4224819434976 in words is "four trillion, two hundred twenty-four billion, eight hundred nineteen million, four hundred thirty-four thousand, nine hundred seventy-six".