424029730816160 has 1152 divisors, whose sum is σ = 1227838213324800. Its totient is φ = 137881185361920.

The previous prime is 424029730816007. The next prime is 424029730816249. The reversal of 424029730816160 is 61618037920424.

It is a super-4 number, since 4×424029730816160⁴ (a number of 60 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 321478187981 + ... + 321478189299.

It is an arithmetic number, because the mean of its divisors is an integer number (1065831782400).

Almost surely, 2^{424029730816160} is an apocalyptic number.

424029730816160 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 424029730816160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613919106662400).

424029730816160 is an abundant number, since it is smaller than the sum of its proper divisors (803808482508640).

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

424029730816160 is a wasteful number, since it uses less digits than its factorization.

424029730816160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 424029730816160 in words is "four hundred twenty-four trillion, twenty-nine billion, seven hundred thirty million, eight hundred sixteen thousand, one hundred sixty".