434402633664 has 224 divisors, whose sum is σ = 1286154847040. Its totient is φ = 143773138944.

The previous prime is 434402633641. The next prime is 434402633719. The reversal of 434402633664 is 466336204434.

It is a happy number.

434402633664 is a `hidden beast` number, since 4 + 3 + 4 + 4 + 0 + 2 + 633 + 6 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244457544 + ... + 244459320.

It is an arithmetic number, because the mean of its divisors is an integer number (5741762710).

Almost surely, 2^434402633664 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 434402633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643077423520).

434402633664 is an abundant number, since it is smaller than the sum of its proper divisors (851752213376).

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

434402633664 is a wasteful number, since it uses less digits than its factorization.

434402633664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 45.

The spelling of 434402633664 in words is "four hundred thirty-four billion, four hundred two million, six hundred thirty-three thousand, six hundred sixty-four".