515216441340 has 96 divisors (see below), whose sum is σ = 1607738737920. Its totient is φ = 136975924800.

The previous prime is 515216441339. The next prime is 515216441351. The reversal of 515216441340 is 43144612515.

515216441340 is a `hidden beast` number, since 5 + 1 + 5 + 2 + 1 + 644 + 1 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 515216441295 and 515216441304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1262506 + ... + 1619985.

It is an arithmetic number, because the mean of its divisors is an integer number (16747278520).

Almost surely, 2^515216441340 is an apocalyptic number.

It is an amenable number.

515216441340 is an abundant number, since it is smaller than the sum of its proper divisors (1092522296580).

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

515216441340 is a wasteful number, since it uses less digits than its factorization.

515216441340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882840 (or 2882832 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 515216441340 in words is "five hundred fifteen billion, two hundred sixteen million, four hundred forty-one thousand, three hundred forty".