434412048096 has 288 divisors, whose sum is σ = 1469895336000. Its totient is φ = 120332500992.

The previous prime is 434412048053. The next prime is 434412048097. The reversal of 434412048096 is 690840214434.

434412048096 is a `hidden beast` number, since 4 + 3 + 44 + 120 + 480 + 9 + 6 = 666.

434412048096 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×434412048096² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434412048097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1315530 + ... + 1612278.

It is an arithmetic number, because the mean of its divisors is an integer number (5103803250).

Almost surely, 2^434412048096 is an apocalyptic number.

434412048096 is a gapful number since it is divisible by the number (46) 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 434412048096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734947668000).

434412048096 is an abundant number, since it is smaller than the sum of its proper divisors (1035483287904).

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

434412048096 is a wasteful number, since it uses less digits than its factorization.

434412048096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296818 (or 296807 counting only the distinct ones).

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

The spelling of 434412048096 in words is "four hundred thirty-four billion, four hundred twelve million, forty-eight thousand, ninety-six".