406376815822848 has 960 divisors, whose sum is σ = 1319914200084480. Its totient is φ = 123825459953664.

The previous prime is 406376815822793. The next prime is 406376815822849. The reversal of 406376815822848 is 848228518673604.

406376815822848 is a `hidden beast` number, since 4 + 0 + 6 + 37 + 6 + 8 + 1 + 582 + 2 + 8 + 4 + 8 = 666.

It is a super-2 number, since 2×406376815822848² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (406376815822849) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 203493647386 + ... + 203493649382.

It is an arithmetic number, because the mean of its divisors is an integer number (1374910625088).

Almost surely, 2^{406376815822848} is an apocalyptic number.

406376815822848 is a gapful number since it is divisible by the number (48) 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 406376815822848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659957100042240).

406376815822848 is an abundant number, since it is smaller than the sum of its proper divisors (913537384261632).

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

406376815822848 is a wasteful number, since it uses less digits than its factorization.

406376815822848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 990904320, while the sum is 72.

The spelling of 406376815822848 in words is "four hundred six trillion, three hundred seventy-six billion, eight hundred fifteen million, eight hundred twenty-two thousand, eight hundred forty-eight".