414493047072 has 384 divisors, whose sum is σ = 1333075968000. Its totient is φ = 126078695424.

The previous prime is 414493047011. The next prime is 414493047077. The reversal of 414493047072 is 270740394414.

414493047072 is a `hidden beast` number, since 4 + 144 + 9 + 30 + 470 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (414493047077) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80968929 + ... + 80974047.

It is an arithmetic number, because the mean of its divisors is an integer number (3471552000).

Almost surely, 2^414493047072 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 414493047072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666537984000).

414493047072 is an abundant number, since it is smaller than the sum of its proper divisors (918582920928).

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

414493047072 is an equidigital number, since it uses as much as digits as its factorization.

414493047072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5252 (or 5226 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 414493047072 in words is "four hundred fourteen billion, four hundred ninety-three million, forty-seven thousand, seventy-two".