412096481280 has 1440 divisors, whose sum is σ = 1700443704960. Its totient is φ = 94622515200.

The previous prime is 412096481231. The next prime is 412096481287. The reversal of 412096481280 is 82184690214.

412096481280 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 96 + 481 + 2 + 80 = 666.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (412096481287) 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 119 ways as a sum of consecutive naturals, for example, 8768010217 + ... + 8768010263.

It is an arithmetic number, because the mean of its divisors is an integer number (1180863684).

Almost surely, 2^412096481280 is an apocalyptic number.

412096481280 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 412096481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850221852480).

412096481280 is an abundant number, since it is smaller than the sum of its proper divisors (1288347223680).

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

412096481280 is a wasteful number, since it uses less digits than its factorization.

412096481280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 412096481280 in words is "four hundred twelve billion, ninety-six million, four hundred eighty-one thousand, two hundred eighty".