433140000000 has 288 divisors, whose sum is σ = 1441175998080. Its totient is φ = 115488000000.

The previous prime is 433139999947. The next prime is 433140000023. The reversal of 433140000000 is 41334.

It is a super-2 number, since 2×433140000000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59996391 + ... + 60003609.

Almost surely, 2^433140000000 is an apocalyptic number.

433140000000 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 433140000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720587999040).

433140000000 is an abundant number, since it is smaller than the sum of its proper divisors (1008035998080).

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

433140000000 is an frugal number, since it uses more digits than its factorization.

433140000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7273 (or 7229 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 433140000000 its reverse (41334), we get a palindrome (433140041334).

The spelling of 433140000000 in words is "four hundred thirty-three billion, one hundred forty million", and thus it is an aban number.