434048961024 has 240 divisors, whose sum is σ = 1444332681792. Its totient is φ = 122915487744.

The previous prime is 434048961001. The next prime is 434048961043. The reversal of 434048961024 is 420169840434.

434048961024 is a `hidden beast` number, since 4 + 3 + 4 + 0 + 4 + 8 + 9 + 610 + 24 = 666.

It is a super-2 number, since 2×434048961024² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3585387 + ... + 3704469.

Almost surely, 2^434048961024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434048961024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722166340896).

434048961024 is an abundant number, since it is smaller than the sum of its proper divisors (1010283720768).

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

434048961024 is a wasteful number, since it uses less digits than its factorization.

434048961024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119227 (or 119208 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 434048961024 in words is "four hundred thirty-four billion, forty-eight million, nine hundred sixty-one thousand, twenty-four".