535321412400 has 120 divisors (see below), whose sum is σ = 1716146173504. Its totient is φ = 142641388800.

The previous prime is 535321412389. The next prime is 535321412411. The reversal of 535321412400 is 4214123535.

It is an interprime number because it is at equal distance from previous prime (535321412389) and next prime (535321412411).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 1376427 + ... + 1721973.

Almost surely, 2^535321412400 is an apocalyptic number.

535321412400 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 535321412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858073086752).

535321412400 is an abundant number, since it is smaller than the sum of its proper divisors (1180824761104).

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

535321412400 is a wasteful number, since it uses less digits than its factorization.

535321412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346859 (or 346848 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 535321412400 its reverse (4214123535), we get a palindrome (539535535935).

The spelling of 535321412400 in words is "five hundred thirty-five billion, three hundred twenty-one million, four hundred twelve thousand, four hundred".