434940420096 has 1008 divisors, whose sum is σ = 1637028154944. Its totient is φ = 114709561344.

The previous prime is 434940420091. The next prime is 434940420107. The reversal of 434940420096 is 690024049434.

434940420096 is a `hidden beast` number, since 4 + 34 + 9 + 404 + 200 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434940420091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33456955386 + ... + 33456955398.

It is an arithmetic number, because the mean of its divisors is an integer number (1624035868).

Almost surely, 2^434940420096 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 434940420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818514077472).

434940420096 is an abundant number, since it is smaller than the sum of its proper divisors (1202087734848).

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

434940420096 is an frugal number, since it uses more digits than its factorization.

434940420096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 434940420096 in words is "four hundred thirty-four billion, nine hundred forty million, four hundred twenty thousand, ninety-six".