411455536704 has 315 divisors, whose sum is σ = 1248977097291. Its totient is φ = 133934342400.

The previous prime is 411455536693. The next prime is 411455536711. The reversal of 411455536704 is 407635554114.

It is a happy number.

The square root of 411455536704 is 641448.

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

411455536704 is a `hidden beast` number, since 4 + 1 + 1 + 45 + 5 + 536 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 411455536704.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2724871029 + ... + 2724871179.

Almost surely, 2^411455536704 is an apocalyptic number.

411455536704 is the 641448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411455536704

411455536704 is an abundant number, since it is smaller than the sum of its proper divisors (837521560587).

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

411455536704 is an frugal number, since it uses more digits than its factorization.

411455536704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 411455536704 in words is "four hundred eleven billion, four hundred fifty-five million, five hundred thirty-six thousand, seven hundred four".