514042400000 has 216 divisors, whose sum is σ = 1326798438840. Its totient is φ = 198517760000.

The previous prime is 514042399991. The next prime is 514042400083. The reversal of 514042400000 is 4240415.

It can be written as a sum of positive squares in 12 ways, for example, as 483369781504 + 30672618496 = 695248^2 + 175136^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23188922 + ... + 23211078.

It is an arithmetic number, because the mean of its divisors is an integer number (6142585365).

Almost surely, 2^514042400000 is an apocalyptic number.

514042400000 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 514042400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663399219420).

514042400000 is an abundant number, since it is smaller than the sum of its proper divisors (812756038840).

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

514042400000 is an frugal number, since it uses more digits than its factorization.

514042400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22227 (or 22193 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 514042400000 its reverse (4240415), we get a palindrome (514046640415).

The spelling of 514042400000 in words is "five hundred fourteen billion, forty-two million, four hundred thousand".