434432607440 has 80 divisors (see below), whose sum is σ = 1089742418688. Its totient is φ = 160112429568.

The previous prime is 434432607361. The next prime is 434432607461. The reversal of 434432607440 is 44706234434.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187049 + ... + 950711.

Almost surely, 2^434432607440 is an apocalyptic number.

434432607440 is a gapful number since it is divisible by the number (40) 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 434432607440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544871209344).

434432607440 is an abundant number, since it is smaller than the sum of its proper divisors (655309811248).

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

434432607440 is a wasteful number, since it uses less digits than its factorization.

434432607440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764236 (or 764230 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 41.

The spelling of 434432607440 in words is "four hundred thirty-four billion, four hundred thirty-two million, six hundred seven thousand, four hundred forty".