5435152104240 has 240 divisors, whose sum is σ = 18445473018336. Its totient is φ = 1434101760000.

The previous prime is 5435152104191. The next prime is 5435152104269. The reversal of 5435152104240 is 424012515345.

5435152104240 is a `hidden beast` number, since 5 + 4 + 3 + 5 + 15 + 210 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 5435152104195 and 5435152104204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517578990 + ... + 517589490.

Almost surely, 2^{5435152104240} 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 5435152104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9222736509168).

5435152104240 is an abundant number, since it is smaller than the sum of its proper divisors (13010320914096).

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

5435152104240 is a wasteful number, since it uses less digits than its factorization.

5435152104240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18028 (or 18019 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 5435152104240 its reverse (424012515345), we get a palindrome (5859164619585).

The spelling of 5435152104240 in words is "five trillion, four hundred thirty-five billion, one hundred fifty-two million, one hundred four thousand, two hundred forty".