535400310250240 has 144 divisors (see below), whose sum is σ = 1303904120295168. Its totient is φ = 210588971839488.

The previous prime is 535400310250193. The next prime is 535400310250291. The reversal of 535400310250240 is 42052013004535.

It is a super-2 number, since 2×535400310250240² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 535400310250196 and 535400310250205.

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 15 ways as a sum of consecutive naturals, for example, 42738469 + ... + 53827291.

It is an arithmetic number, because the mean of its divisors is an integer number (9054889724272).

Almost surely, 2^{535400310250240} 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 535400310250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651952060147584).

535400310250240 is an abundant number, since it is smaller than the sum of its proper divisors (768503810044928).

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

535400310250240 is a wasteful number, since it uses less digits than its factorization.

535400310250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11089474 (or 11089460 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 535400310250240 its reverse (42052013004535), we get a palindrome (577452323254775).

The spelling of 535400310250240 in words is "five hundred thirty-five trillion, four hundred billion, three hundred ten million, two hundred fifty thousand, two hundred forty".