424123846272 has 192 divisors, whose sum is σ = 1432510684800. Its totient is φ = 117903071232.

The previous prime is 424123846261. The next prime is 424123846277. The reversal of 424123846272 is 272648321424.

424123846272 is a `hidden beast` number, since 4 + 2 + 4 + 12 + 3 + 8 + 4 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (424123846277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412372 + ... + 1009107.

It is an arithmetic number, because the mean of its divisors is an integer number (7460993150).

Almost surely, 2^424123846272 is an apocalyptic number.

424123846272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

424123846272 is an abundant number, since it is smaller than the sum of its proper divisors (1008386838528).

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

424123846272 is a wasteful number, since it uses less digits than its factorization.

424123846272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421543 (or 1421528 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The spelling of 424123846272 in words is "four hundred twenty-four billion, one hundred twenty-three million, eight hundred forty-six thousand, two hundred seventy-two".