534413311040000 has 800 divisors, whose sum is σ = 1618395713294976. Its totient is φ = 172045762560000.

The previous prime is 534413311039991. The next prime is 534413311040009. The reversal of 534413311040000 is 40113314435.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (534413311039991) and next prime (534413311040009).

It is a tau number, because it is divible by the number of its divisors (800).

It is not an unprimeable number, because it can be changed into a prime (534413311040009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16488623795 + ... + 16488656205.

Almost surely, 2^{534413311040000} is an apocalyptic number.

534413311040000 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 534413311040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809197856647488).

534413311040000 is an abundant number, since it is smaller than the sum of its proper divisors (1083982402254976).

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

534413311040000 is an equidigital number, since it uses as much as digits as its factorization.

534413311040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32906 (or 32875 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 534413311040000 its reverse (40113314435), we get a palindrome (534453424354435).

The spelling of 534413311040000 in words is "five hundred thirty-four trillion, four hundred thirteen billion, three hundred eleven million, forty thousand".