408119842368 has 168 divisors, whose sum is σ = 1339580930688. Its totient is φ = 116373270528.

The previous prime is 408119842337. The next prime is 408119842369. The reversal of 408119842368 is 863248911804.

It is a happy number.

408119842368 is a `hidden beast` number, since 40 + 8 + 119 + 8 + 423 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (408119842369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1927480 + ... + 2128712.

It is an arithmetic number, because the mean of its divisors is an integer number (7973696016).

Almost surely, 2^408119842368 is an apocalyptic number.

408119842368 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 408119842368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669790465344).

408119842368 is an abundant number, since it is smaller than the sum of its proper divisors (931461088320).

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

408119842368 is a wasteful number, since it uses less digits than its factorization.

408119842368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201761 (or 201748 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 408119842368 in words is "four hundred eight billion, one hundred nineteen million, eight hundred forty-two thousand, three hundred sixty-eight".