406412830080 has 512 divisors, whose sum is σ = 1493248176000. Its totient is φ = 104342224896.

The previous prime is 406412830079. The next prime is 406412830099. The reversal of 406412830080 is 80038214604.

406412830080 is a `hidden beast` number, since 4 + 0 + 641 + 2 + 8 + 3 + 0 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216984024 + ... + 216985896.

Almost surely, 2^406412830080 is an apocalyptic number.

406412830080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406412830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746624088000).

406412830080 is an abundant number, since it is smaller than the sum of its proper divisors (1086835345920).

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

406412830080 is a wasteful number, since it uses less digits than its factorization.

406412830080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 406412830080 in words is "four hundred six billion, four hundred twelve million, eight hundred thirty thousand, eighty".