414345419348672 has 112 divisors (see below), whose sum is σ = 970425162178560. Its totient is φ = 171770943513600.

The previous prime is 414345419348633. The next prime is 414345419348683. The reversal of 414345419348672 is 276843914543414.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 414345419348599 and 414345419348608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24128729 + ... + 37561767.

Almost surely, 2^{414345419348672} 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 414345419348672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485212581089280).

414345419348672 is an abundant number, since it is smaller than the sum of its proper divisors (556079742829888).

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

414345419348672 is a wasteful number, since it uses less digits than its factorization.

414345419348672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13435310 (or 13435300 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 65.

The spelling of 414345419348672 in words is "four hundred fourteen trillion, three hundred forty-five billion, four hundred nineteen million, three hundred forty-eight thousand, six hundred seventy-two".