406216820880 has 280 divisors, whose sum is σ = 1524961880568. Its totient is φ = 99991646208.

The previous prime is 406216820879. The next prime is 406216820897. The reversal of 406216820880 is 88028612604.

406216820880 is a `hidden beast` number, since 406 + 2 + 168 + 2 + 0 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24455955456 + 381760865424 = 156384^2 + 617868^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 490264 + ... + 1026056.

Almost surely, 2^406216820880 is an apocalyptic number.

406216820880 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 406216820880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762480940284).

406216820880 is an abundant number, since it is smaller than the sum of its proper divisors (1118745059688).

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

406216820880 is a wasteful number, since it uses less digits than its factorization.

406216820880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535837 (or 535816 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 406216820880 in words is "four hundred six billion, two hundred sixteen million, eight hundred twenty thousand, eight hundred eighty".