436425135344 has 80 divisors (see below), whose sum is σ = 931953967200. Its totient is φ = 196331520000.

The previous prime is 436425135329. The next prime is 436425135347. The reversal of 436425135344 is 443531524634.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 436425135295 and 436425135304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (436425135347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82637984 + ... + 82643264.

It is an arithmetic number, because the mean of its divisors is an integer number (11649424590).

Almost surely, 2^436425135344 is an apocalyptic number.

436425135344 is a gapful number since it is divisible by the number (44) 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 436425135344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465976983600).

436425135344 is an abundant number, since it is smaller than the sum of its proper divisors (495528831856).

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

436425135344 is a wasteful number, since it uses less digits than its factorization.

436425135344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10050 (or 10044 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 44.

Adding to 436425135344 its reverse (443531524634), we get a palindrome (879956659978).

The spelling of 436425135344 in words is "four hundred thirty-six billion, four hundred twenty-five million, one hundred thirty-five thousand, three hundred forty-four".