410968180624 has 45 divisors (see below), whose sum is σ = 802716682833. Its totient is φ = 203828852736.

The previous prime is 410968180613. The next prime is 410968180639. The reversal of 410968180624 is 426081869014.

It is a happy number.

The square root of 410968180624 is 641068.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 324786010000 + 86182170624 = 569900^2 + 293568^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 356433232 + ... + 356434384.

Almost surely, 2^410968180624 is an apocalyptic number.

410968180624 is the 641068-th square number.

It is an amenable number.

410968180624 is a deficient number, since it is larger than the sum of its proper divisors (391748502209).

410968180624 is an frugal number, since it uses more digits than its factorization.

410968180624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

Multiplying 410968180624 by its sum of digits (49), we get a square (20137440850576 = 4487476²).

The spelling of 410968180624 in words is "four hundred ten billion, nine hundred sixty-eight million, one hundred eighty thousand, six hundred twenty-four".