535214141440000 has 320 divisors, whose sum is σ = 1459186183671480. Its totient is φ = 194623242240000.

The previous prime is 535214141439977. The next prime is 535214141440057. The reversal of 535214141440000 is 44141412535.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 224092114 + ... + 226467886.

Almost surely, 2^{535214141440000} is an apocalyptic number.

535214141440000 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 535214141440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729593091835740).

535214141440000 is an abundant number, since it is smaller than the sum of its proper divisors (923972042231480).

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

535214141440000 is an frugal number, since it uses more digits than its factorization.

535214141440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375834 (or 2375791 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 535214141440000 its reverse (44141412535), we get a palindrome (535258282852535).

The spelling of 535214141440000 in words is "five hundred thirty-five trillion, two hundred fourteen billion, one hundred forty-one million, four hundred forty thousand".