414973645344 has 960 divisors, whose sum is σ = 1433172787200. Its totient is φ = 116901273600.

The previous prime is 414973645321. The next prime is 414973645349. The reversal of 414973645344 is 443546379414.

414973645344 is a `hidden beast` number, since 4 + 1 + 49 + 7 + 3 + 64 + 534 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (414973645349) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1531267929 + ... + 1531268199.

It is an arithmetic number, because the mean of its divisors is an integer number (1492888320).

Almost surely, 2^414973645344 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 414973645344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716586393600).

414973645344 is an abundant number, since it is smaller than the sum of its proper divisors (1018199141856).

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

414973645344 is a wasteful number, since it uses less digits than its factorization.

414973645344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 402 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 414973645344 in words is "four hundred fourteen billion, nine hundred seventy-three million, six hundred forty-five thousand, three hundred forty-four".