434402313000 has 256 divisors, whose sum is σ = 1371168864000. Its totient is φ = 114491520000.

The previous prime is 434402312977. The next prime is 434402313049. The reversal of 434402313000 is 313204434.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 260276166 + ... + 260277834.

It is an arithmetic number, because the mean of its divisors is an integer number (5356128375).

Almost surely, 2^434402313000 is an apocalyptic number.

434402313000 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 434402313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685584432000).

434402313000 is an abundant number, since it is smaller than the sum of its proper divisors (936766551000).

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

434402313000 is a wasteful number, since it uses less digits than its factorization.

434402313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 434402313000 its reverse (313204434), we get a palindrome (434715517434).

The spelling of 434402313000 in words is "four hundred thirty-four billion, four hundred two million, three hundred thirteen thousand".