406410264414 has 384 divisors, whose sum is σ = 1207401541632. Its totient is φ = 95576785920.

The previous prime is 406410264391. The next prime is 406410264427. The reversal of 406410264414 is 414462014604.

406410264414 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 1 + 0 + 2 + 644 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67879129 + ... + 67885115.

It is an arithmetic number, because the mean of its divisors is an integer number (3144274848).

Almost surely, 2^406410264414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406410264414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603700770816).

406410264414 is an abundant number, since it is smaller than the sum of its proper divisors (800991277218).

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

406410264414 is a wasteful number, since it uses less digits than its factorization.

406410264414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6140 (or 6137 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 406410264414 in words is "four hundred six billion, four hundred ten million, two hundred sixty-four thousand, four hundred fourteen".