412370671680 has 672 divisors, whose sum is σ = 1619590156800. Its totient is φ = 98683453440.

The previous prime is 412370671667. The next prime is 412370671681. The reversal of 412370671680 is 86176073214.

412370671680 is a `hidden beast` number, since 412 + 3 + 70 + 6 + 7 + 168 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412370671681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82587264 + ... + 82592256.

It is an arithmetic number, because the mean of its divisors is an integer number (2410104400).

Almost surely, 2^412370671680 is an apocalyptic number.

412370671680 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 412370671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809795078400).

412370671680 is an abundant number, since it is smaller than the sum of its proper divisors (1207219485120).

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

412370671680 is a wasteful number, since it uses less digits than its factorization.

412370671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5120 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 412370671680 in words is "four hundred twelve billion, three hundred seventy million, six hundred seventy-one thousand, six hundred eighty".