412848720000 has 960 divisors, whose sum is σ = 1583234452800. Its totient is φ = 102933504000.

The previous prime is 412848719963. The next prime is 412848720017. The reversal of 412848720000 is 27848214.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1409039854 + ... + 1409040146.

It is an arithmetic number, because the mean of its divisors is an integer number (1649202555).

Almost surely, 2^412848720000 is an apocalyptic number.

412848720000 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 412848720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791617226400).

412848720000 is an abundant number, since it is smaller than the sum of its proper divisors (1170385732800).

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

412848720000 is a wasteful number, since it uses less digits than its factorization.

412848720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 412848720000 in words is "four hundred twelve billion, eight hundred forty-eight million, seven hundred twenty thousand".