434044709376 has 320 divisors, whose sum is σ = 1272598905600. Its totient is φ = 130848915456.

The previous prime is 434044709339. The next prime is 434044709381. The reversal of 434044709376 is 673907440434.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 173408541 + ... + 173411043.

It is an arithmetic number, because the mean of its divisors is an integer number (3976871580).

Almost surely, 2^434044709376 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 434044709376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636299452800).

434044709376 is an abundant number, since it is smaller than the sum of its proper divisors (838554196224).

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

434044709376 is a wasteful number, since it uses less digits than its factorization.

434044709376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 51.

The spelling of 434044709376 in words is "four hundred thirty-four billion, forty-four million, seven hundred nine thousand, three hundred seventy-six".