416419781706 has 64 divisors (see below), whose sum is σ = 935398563840. Its totient is φ = 137306398320.

The previous prime is 416419781699. The next prime is 416419781711. The reversal of 416419781706 is 607187914614.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5025891 + ... + 5108073.

It is an arithmetic number, because the mean of its divisors is an integer number (14615602560).

Almost surely, 2^416419781706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416419781706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467699281920).

416419781706 is an abundant number, since it is smaller than the sum of its proper divisors (518978782134).

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

416419781706 is a wasteful number, since it uses less digits than its factorization.

416419781706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83208 (or 83202 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 416419781706 in words is "four hundred sixteen billion, four hundred nineteen million, seven hundred eighty-one thousand, seven hundred six".