514145320000 has 420 divisors, whose sum is σ = 1453549777680. Its totient is φ = 179801856000.

The previous prime is 514145319977. The next prime is 514145320061. The reversal of 514145320000 is 23541415.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 128437999 + ... + 128442001.

It is an arithmetic number, because the mean of its divisors is an integer number (3460832804).

Almost surely, 2^514145320000 is an apocalyptic number.

514145320000 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 514145320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726774888840).

514145320000 is an abundant number, since it is smaller than the sum of its proper divisors (939404457680).

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

514145320000 is a wasteful number, since it uses less digits than its factorization.

514145320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 514145320000 its reverse (23541415), we get a palindrome (514168861415).

The spelling of 514145320000 in words is "five hundred fourteen billion, one hundred forty-five million, three hundred twenty thousand".