434773886976 has 1152 divisors, whose sum is σ = 1617553566720. Its totient is φ = 110415052800.

The previous prime is 434773886969. The next prime is 434773887019. The reversal of 434773886976 is 679688377434.

It is a happy number.

434773886976 is a `hidden beast` number, since 4 + 3 + 477 + 3 + 8 + 86 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1389053796 + ... + 1389054108.

It is an arithmetic number, because the mean of its divisors is an integer number (1404126360).

Almost surely, 2^434773886976 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 434773886976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808776783360).

434773886976 is an abundant number, since it is smaller than the sum of its proper divisors (1182779679744).

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

434773886976 is a wasteful number, since it uses less digits than its factorization.

434773886976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 390 counting only the distinct ones).

The product of its digits is 1024192512, while the sum is 72.

The spelling of 434773886976 in words is "four hundred thirty-four billion, seven hundred seventy-three million, eight hundred eighty-six thousand, nine hundred seventy-six".