396268101120 has 320 divisors, whose sum is σ = 1315342955520. Its totient is φ = 101650956288.

The previous prime is 396268101113. The next prime is 396268101121. The reversal of 396268101120 is 21101862693.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396268101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63026617 + ... + 63032903.

It is an arithmetic number, because the mean of its divisors is an integer number (4110446736).

Almost surely, 2^396268101120 is an apocalyptic number.

396268101120 is a gapful number since it is divisible by the number (30) 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 396268101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657671477760).

396268101120 is an abundant number, since it is smaller than the sum of its proper divisors (919074854400).

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

396268101120 is a wasteful number, since it uses less digits than its factorization.

396268101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6625 (or 6609 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 396268101120 in words is "three hundred ninety-six billion, two hundred sixty-eight million, one hundred one thousand, one hundred twenty".