412669689120 has 1440 divisors, whose sum is σ = 1672336789200. Its totient is φ = 95647039488.

The previous prime is 412669689083. The next prime is 412669689139. The reversal of 412669689120 is 21986966214.

412669689120 is a `hidden beast` number, since 412 + 6 + 69 + 68 + 91 + 20 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 124442439696 + 288227249424 = 352764^2 + 536868^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4636738036 + ... + 4636738124.

Almost surely, 2^412669689120 is an apocalyptic number.

412669689120 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 412669689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836168394600).

412669689120 is an abundant number, since it is smaller than the sum of its proper divisors (1259667100080).

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

412669689120 is a wasteful number, since it uses less digits than its factorization.

412669689120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 412669689120 in words is "four hundred twelve billion, six hundred sixty-nine million, six hundred eighty-nine thousand, one hundred twenty".