514774080480 has 384 divisors, whose sum is σ = 1859395378176. Its totient is φ = 118492774400.

The previous prime is 514774080467. The next prime is 514774080487. The reversal of 514774080480 is 84080477415.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514774080487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16621810 + ... + 16652750.

It is an arithmetic number, because the mean of its divisors is an integer number (4842175464).

Almost surely, 2^514774080480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514774080480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929697689088).

514774080480 is an abundant number, since it is smaller than the sum of its proper divisors (1344621297696).

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

514774080480 is a wasteful number, since it uses less digits than its factorization.

514774080480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31130 (or 31122 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 48.

The spelling of 514774080480 in words is "five hundred fourteen billion, seven hundred seventy-four million, eighty thousand, four hundred eighty".