535041200400 has 240 divisors, whose sum is σ = 1959258016128. Its totient is φ = 122264064000.

The previous prime is 535041200377. The next prime is 535041200423. The reversal of 535041200400 is 4002140535.

It is an interprime number because it is at equal distance from previous prime (535041200377) and next prime (535041200423).

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

It is a super-2 number, since 2×535041200400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56787690 + ... + 56797110.

Almost surely, 2^535041200400 is an apocalyptic number.

535041200400 is a gapful number since it is divisible by the number (50) 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 535041200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979629008064).

535041200400 is an abundant number, since it is smaller than the sum of its proper divisors (1424216815728).

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

535041200400 is a wasteful number, since it uses less digits than its factorization.

535041200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16210 (or 16199 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 535041200400 its reverse (4002140535), we get a palindrome (539043340935).

The spelling of 535041200400 in words is "five hundred thirty-five billion, forty-one million, two hundred thousand, four hundred".