514032442401000 has 128 divisors (see below), whose sum is σ = 1604486820643200. Its totient is φ = 137015010252800.

The previous prime is 514032442400989. The next prime is 514032442401031. The reversal of 514032442401000 is 104244230415.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30872190 + ... + 44510189.

It is an arithmetic number, because the mean of its divisors is an integer number (12535053286275).

Almost surely, 2^{514032442401000} is an apocalyptic number.

514032442401000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

514032442401000 is an abundant number, since it is smaller than the sum of its proper divisors (1090454378242200).

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

514032442401000 is a wasteful number, since it uses less digits than its factorization.

514032442401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75384676 (or 75384662 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 514032442401000 its reverse (104244230415), we get a palindrome (514136686631415).

The spelling of 514032442401000 in words is "five hundred fourteen trillion, thirty-two billion, four hundred forty-two million, four hundred one thousand".