471540409344 has 297 divisors, whose sum is σ = 1427926275139. Its totient is φ = 149862789120.

The previous prime is 471540409331. The next prime is 471540409387. The reversal of 471540409344 is 443904045174.

The square root of 471540409344 is 686688.

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

471540409344 is a `hidden beast` number, since 4 + 71 + 540 + 4 + 0 + 9 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 471540409344.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1516206949 + ... + 1516207259.

Almost surely, 2^471540409344 is an apocalyptic number.

471540409344 is the 686688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471540409344

471540409344 is an abundant number, since it is smaller than the sum of its proper divisors (956385865795).

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

471540409344 is an equidigital number, since it uses as much as digits as its factorization.

471540409344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 471540409344 in words is "four hundred seventy-one billion, five hundred forty million, four hundred nine thousand, three hundred forty-four".