434140144000 has 256 divisors, whose sum is σ = 1109157416640. Its totient is φ = 168892416000.

The previous prime is 434140143971. The next prime is 434140144021. The reversal of 434140144000 is 441041434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 260431167 + ... + 260432833.

Almost surely, 2^434140144000 is an apocalyptic number.

434140144000 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 434140144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554578708320).

434140144000 is an abundant number, since it is smaller than the sum of its proper divisors (675017272640).

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

434140144000 is a wasteful number, since it uses less digits than its factorization.

434140144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 434140144000 its reverse (441041434), we get a palindrome (434581185434).

The spelling of 434140144000 in words is "four hundred thirty-four billion, one hundred forty million, one hundred forty-four thousand".