534440105245200 has 960 divisors, whose sum is σ = 2138503279030272. Its totient is φ = 110840737996800.

The previous prime is 534440105245187. The next prime is 534440105245259. The reversal of 534440105245200 is 2542501044435.

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 191 ways as a sum of consecutive naturals, for example, 151270902634 + ... + 151270906166.

Almost surely, 2^{534440105245200} is an apocalyptic number.

534440105245200 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 534440105245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069251639515136).

534440105245200 is an abundant number, since it is smaller than the sum of its proper divisors (1604063173785072).

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

534440105245200 is a wasteful number, since it uses less digits than its factorization.

534440105245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6232 (or 6221 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

Adding to 534440105245200 its reverse (2542501044435), we get a palindrome (536982606289635).

The spelling of 534440105245200 in words is "five hundred thirty-four trillion, four hundred forty billion, one hundred five million, two hundred forty-five thousand, two hundred".