514745490954240 has 6144 divisors, whose sum is σ = 2539741381632000. Its totient is φ = 95692139790336.

The previous prime is 514745490954083. The next prime is 514745490954251. The reversal of 514745490954240 is 42459094547415.

514745490954240 is a `hidden beast` number, since 5 + 1 + 4 + 7 + 4 + 5 + 49 + 0 + 9 + 542 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 788277933754 + ... + 788277934406.

It is an arithmetic number, because the mean of its divisors is an integer number (413369365500).

Almost surely, 2^{514745490954240} 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 514745490954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269870690816000).

514745490954240 is an abundant number, since it is smaller than the sum of its proper divisors (2024995890677760).

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

514745490954240 is a wasteful number, since it uses less digits than its factorization.

514745490954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 514745490954240 in words is "five hundred fourteen trillion, seven hundred forty-five billion, four hundred ninety million, nine hundred fifty-four thousand, two hundred forty".