535413441402400 has 108 divisors (see below), whose sum is σ = 1436705640660906. Its totient is φ = 194695796838400.

The previous prime is 535413441402373. The next prime is 535413441402401. The reversal of 535413441402400 is 4204144314535.

It can be written as a sum of positive squares in 3 ways, for example, as 219844792282896 + 315568649119504 = 14827164^2 + 17764252^2 .

It is a super-2 number, since 2×535413441402400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (535413441402401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2765468497 + ... + 2765662096.

Almost surely, 2^{535413441402400} is an apocalyptic number.

535413441402400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

535413441402400 is an abundant number, since it is smaller than the sum of its proper divisors (901292199258506).

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

535413441402400 is a wasteful number, since it uses less digits than its factorization.

535413441402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5531130635 (or 5531130611 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 535413441402400 its reverse (4204144314535), we get a palindrome (539617585716935).

The spelling of 535413441402400 in words is "five hundred thirty-five trillion, four hundred thirteen billion, four hundred forty-one million, four hundred two thousand, four hundred".