514291042944 has 768 divisors, whose sum is σ = 1812715407360. Its totient is φ = 136796774400.

The previous prime is 514291042919. The next prime is 514291042949. The reversal of 514291042944 is 449240192415.

514291042944 is a `hidden beast` number, since 514 + 2 + 9 + 1 + 0 + 42 + 94 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 514291042944.

It is not an unprimeable number, because it can be changed into a prime (514291042949) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1482106579 + ... + 1482106925.

It is an arithmetic number, because the mean of its divisors is an integer number (2360306520).

Almost surely, 2^514291042944 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 514291042944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906357703680).

514291042944 is an abundant number, since it is smaller than the sum of its proper divisors (1298424364416).

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

514291042944 is a wasteful number, since it uses less digits than its factorization.

514291042944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 514291042944 in words is "five hundred fourteen billion, two hundred ninety-one million, forty-two thousand, nine hundred forty-four".