514415352324420 has 240 divisors, whose sum is σ = 1673007518674800. Its totient is φ = 132159861550080.

The previous prime is 514415352324413. The next prime is 514415352324437. The reversal of 514415352324420 is 24423253514415.

514415352324420 is a `hidden beast` number, since 5 + 1 + 4 + 4 + 153 + 52 + 3 + 2 + 442 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 86891331688704 + 427524020635716 = 9321552^2 + 20676654^2 .

It is a super-2 number, since 2×514415352324420² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9781786 + ... + 33533774.

It is an arithmetic number, because the mean of its divisors is an integer number (6970864661145).

Almost surely, 2^{514415352324420} 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 514415352324420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836503759337400).

514415352324420 is an abundant number, since it is smaller than the sum of its proper divisors (1158592166350380).

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

514415352324420 is a wasteful number, since it uses less digits than its factorization.

514415352324420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23752500 (or 23752489 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 514415352324420 in words is "five hundred fourteen trillion, four hundred fifteen billion, three hundred fifty-two million, three hundred twenty-four thousand, four hundred twenty".