433214130000 has 400 divisors, whose sum is σ = 1441145635776. Its totient is φ = 112020480000.

The previous prime is 433214129941. The next prime is 433214130043. The reversal of 433214130000 is 31412334.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 491729560 + ... + 491730440.

Almost surely, 2^433214130000 is an apocalyptic number.

433214130000 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 433214130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720572817888).

433214130000 is an abundant number, since it is smaller than the sum of its proper divisors (1007931505776).

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

433214130000 is a wasteful number, since it uses less digits than its factorization.

433214130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 433214130000 its reverse (31412334), we get a palindrome (433245542334).

The spelling of 433214130000 in words is "four hundred thirty-three billion, two hundred fourteen million, one hundred thirty thousand".