424160944948224 has 1155 divisors, whose sum is σ = 1405533768264685. Its totient is φ = 127881164759040.

The previous prime is 424160944948201. The next prime is 424160944948249. The reversal of 424160944948224 is 422849449061424.

The square root of 424160944948224 is 20595168.

It is a perfect power (a square), and thus also a powerful number.

424160944948224 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 6 + 0 + 94 + 49 + 482 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 415592257766400 + 8568687181824 = 20386080^2 + 2927232^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 2153101243294 + ... + 2153101243490.

Almost surely, 2^{424160944948224} is an apocalyptic number.

424160944948224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

424160944948224 is the 20595168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424160944948224

424160944948224 is an abundant number, since it is smaller than the sum of its proper divisors (981372823316461).

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

424160944948224 is an frugal number, since it uses more digits than its factorization.

424160944948224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 63.

The spelling of 424160944948224 in words is "four hundred twenty-four trillion, one hundred sixty billion, nine hundred forty-four million, nine hundred forty-eight thousand, two hundred twenty-four".