433114430140 has 192 divisors, whose sum is σ = 1170150395904. Its totient is φ = 131161485312.

The previous prime is 433114430131. The next prime is 433114430141. The reversal of 433114430140 is 41034411334.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 433114430099 and 433114430108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433114430141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2826577 + ... + 2975863.

It is an arithmetic number, because the mean of its divisors is an integer number (6094533312).

Almost surely, 2^433114430140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 433114430140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585075197952).

433114430140 is an abundant number, since it is smaller than the sum of its proper divisors (737035965764).

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

433114430140 is a wasteful number, since it uses less digits than its factorization.

433114430140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149396 (or 149394 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 433114430140 its reverse (41034411334), we get a palindrome (474148841474).

The spelling of 433114430140 in words is "four hundred thirty-three billion, one hundred fourteen million, four hundred thirty thousand, one hundred forty".