514439365440 has 1344 divisors, whose sum is σ = 2305123688448. Its totient is φ = 95451955200.

The previous prime is 514439365373. The next prime is 514439365441. The reversal of 514439365440 is 44563934415.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a self number, because there is not a number n which added to its sum of digits gives 514439365440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514439365441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 208527087 + ... + 208529553.

It is an arithmetic number, because the mean of its divisors is an integer number (1715121792).

Almost surely, 2^514439365440 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 514439365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152561844224).

514439365440 is an abundant number, since it is smaller than the sum of its proper divisors (1790684323008).

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

514439365440 is a wasteful number, since it uses less digits than its factorization.

514439365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 514439365440 in words is "five hundred fourteen billion, four hundred thirty-nine million, three hundred sixty-five thousand, four hundred forty".