416459009340 has 144 divisors (see below), whose sum is σ = 1379856965760. Its totient is φ = 100831098240.

The previous prime is 416459009299. The next prime is 416459009443. The reversal of 416459009340 is 43900954614.

416459009340 is a `hidden beast` number, since 4 + 16 + 4 + 590 + 0 + 9 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1424631 + ... + 1691889.

It is an arithmetic number, because the mean of its divisors is an integer number (9582340040).

Almost surely, 2^416459009340 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 416459009340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689928482880).

416459009340 is an abundant number, since it is smaller than the sum of its proper divisors (963397956420).

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

416459009340 is a wasteful number, since it uses less digits than its factorization.

416459009340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268072 (or 268067 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 416459009340 in words is "four hundred sixteen billion, four hundred fifty-nine million, nine thousand, three hundred forty".