412699321320 has 384 divisors, whose sum is σ = 1506487731840. Its totient is φ = 89164615680.

The previous prime is 412699321313. The next prime is 412699321327. The reversal of 412699321320 is 23123996214.

412699321320 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (412699321313) and next prime (412699321327).

It is not an unprimeable number, because it can be changed into a prime (412699321327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14417262 + ... + 14445858.

It is an arithmetic number, because the mean of its divisors is an integer number (3923145135).

Almost surely, 2^412699321320 is an apocalyptic number.

412699321320 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 412699321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753243865920).

412699321320 is an abundant number, since it is smaller than the sum of its proper divisors (1093788410520).

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

412699321320 is a wasteful number, since it uses less digits than its factorization.

412699321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28693 (or 28660 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 412699321320 in words is "four hundred twelve billion, six hundred ninety-nine million, three hundred twenty-one thousand, three hundred twenty".