424411159489920 has 1792 divisors, whose sum is σ = 1576918632384000. Its totient is φ = 109121710325760.

The previous prime is 424411159489913. The next prime is 424411159490023. The reversal of 424411159489920 is 29984951114424.

424411159489920 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 1 + 11 + 59 + 489 + 92 + 0 = 666.

It is a super-2 number, since 2×424411159489920² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 662107892800 + ... + 662107893440.

Almost surely, 2^{424411159489920} is an apocalyptic number.

424411159489920 is a gapful number since it is divisible by the number (40) 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 424411159489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788459316192000).

424411159489920 is an abundant number, since it is smaller than the sum of its proper divisors (1152507472894080).

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

424411159489920 is an equidigital number, since it uses as much as digits as its factorization.

424411159489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 424411159489920 in words is "four hundred twenty-four trillion, four hundred eleven billion, one hundred fifty-nine million, four hundred eighty-nine thousand, nine hundred twenty".