433223423013420 has 1152 divisors, whose sum is σ = 1559043095500800. Its totient is φ = 99532700467200.

The previous prime is 433223423013413. The next prime is 433223423013461. The reversal of 433223423013420 is 24310324322334.

433223423013420 is a `hidden beast` number, since 4 + 3 + 3 + 2 + 2 + 3 + 4 + 2 + 301 + 342 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 187461454065 + ... + 187461456375.

It is an arithmetic number, because the mean of its divisors is an integer number (1353336020400).

Almost surely, 2^{433223423013420} 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 433223423013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779521547750400).

433223423013420 is an abundant number, since it is smaller than the sum of its proper divisors (1125819672487380).

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

433223423013420 is a wasteful number, since it uses less digits than its factorization.

433223423013420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3928 (or 3907 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 433223423013420 its reverse (24310324322334), we get a palindrome (457533747335754).

The spelling of 433223423013420 in words is "four hundred thirty-three trillion, two hundred twenty-three billion, four hundred twenty-three million, thirteen thousand, four hundred twenty".