434431140000 has 720 divisors, whose sum is σ = 1687199998176. Its totient is φ = 97194240000.

The previous prime is 434431139969. The next prime is 434431140047. The reversal of 434431140000 is 41134434.

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 119 ways as a sum of consecutive naturals, for example, 94377699 + ... + 94382301.

Almost surely, 2^434431140000 is an apocalyptic number.

434431140000 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 434431140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843599999088).

434431140000 is an abundant number, since it is smaller than the sum of its proper divisors (1252768858176).

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

434431140000 is a wasteful number, since it uses less digits than its factorization.

434431140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 434431140000 its reverse (41134434), we get a palindrome (434472274434).

The spelling of 434431140000 in words is "four hundred thirty-four billion, four hundred thirty-one million, one hundred forty thousand".