414345419348608 has 128 divisors (see below), whose sum is σ = 909572325480000. Its totient is φ = 186448070246400.

The previous prime is 414345419348599. The next prime is 414345419348617. The reversal of 414345419348608 is 806843914543414.

It is an interprime number because it is at equal distance from previous prime (414345419348599) and next prime (414345419348617).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 414345419348608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65270368 + ... + 71336608.

Almost surely, 2^{414345419348608} 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 414345419348608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454786162740000).

414345419348608 is an abundant number, since it is smaller than the sum of its proper divisors (495226906131392).

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

414345419348608 is a wasteful number, since it uses less digits than its factorization.

414345419348608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6066754 (or 6066742 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 64.

The spelling of 414345419348608 in words is "four hundred fourteen trillion, three hundred forty-five billion, four hundred nineteen million, three hundred forty-eight thousand, six hundred eight".