408338941416 has 384 divisors, whose sum is σ = 1246882533120. Its totient is φ = 111014400000.

The previous prime is 408338941411. The next prime is 408338941433. The reversal of 408338941416 is 614149833804.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (408338941411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 345756346 + ... + 345757526.

It is an arithmetic number, because the mean of its divisors is an integer number (3247089930).

Almost surely, 2^408338941416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408338941416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623441266560).

408338941416 is an abundant number, since it is smaller than the sum of its proper divisors (838543591704).

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

408338941416 is a wasteful number, since it uses less digits than its factorization.

408338941416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 408338941416 in words is "four hundred eight billion, three hundred thirty-eight million, nine hundred forty-one thousand, four hundred sixteen".