424123957504 has 243 divisors, whose sum is σ = 956720187927. Its totient is φ = 187559424000.

The previous prime is 424123957451. The next prime is 424123957519. The reversal of 424123957504 is 405759321424.

The square root of 424123957504 is 651248.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15997190400 + 408126767104 = 126480^2 + 638848^2 .

It is a super-2 number, since 2×424123957504² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4199247054 + ... + 4199247154.

Almost surely, 2^424123957504 is an apocalyptic number.

424123957504 is the 651248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424123957504

424123957504 is an abundant number, since it is smaller than the sum of its proper divisors (532596230423).

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

424123957504 is an equidigital number, since it uses as much as digits as its factorization.

424123957504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 424123957504 in words is "four hundred twenty-four billion, one hundred twenty-three million, nine hundred fifty-seven thousand, five hundred four".