5435232013440 has 192 divisors, whose sum is σ = 18775507528440. Its totient is φ = 1448856797184.

The previous prime is 5435232013339. The next prime is 5435232013459. The reversal of 5435232013440 is 443102325345.

5435232013440 is a `hidden beast` number, since 5 + 4 + 3 + 5 + 2 + 3 + 201 + 3 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5418354885696 + 16877127744 = 2327736^2 + 129912^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 5435232013395 and 5435232013404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15452974 + ... + 15800786.

Almost surely, 2^{5435232013440} 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 5435232013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9387753764220).

5435232013440 is an abundant number, since it is smaller than the sum of its proper divisors (13340275515000).

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

5435232013440 is a wasteful number, since it uses less digits than its factorization.

5435232013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350551 (or 350536 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 5435232013440 its reverse (443102325345), we get a palindrome (5878334338785).

The spelling of 5435232013440 in words is "five trillion, four hundred thirty-five billion, two hundred thirty-two million, thirteen thousand, four hundred forty".