433152145020 has 192 divisors, whose sum is σ = 1418570818560. Its totient is φ = 96707340288.

The previous prime is 433152145001. The next prime is 433152145021. The reversal of 433152145020 is 20541251334.

It is a super-2 number, since 2×433152145020² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433152145021) 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, 3834792 + ... + 3946128.

It is an arithmetic number, because the mean of its divisors is an integer number (7388389680).

Almost surely, 2^433152145020 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 433152145020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709285409280).

433152145020 is an abundant number, since it is smaller than the sum of its proper divisors (985418673540).

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

433152145020 is a wasteful number, since it uses less digits than its factorization.

433152145020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111572 (or 111570 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 433152145020 its reverse (20541251334), we get a palindrome (453693396354).

The spelling of 433152145020 in words is "four hundred thirty-three billion, one hundred fifty-two million, one hundred forty-five thousand, twenty".