412145321280 has 1120 divisors, whose sum is σ = 1696482662400. Its totient is φ = 83003289600.

The previous prime is 412145321227. The next prime is 412145321309. The reversal of 412145321280 is 82123541214.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5804863645 + ... + 5804863715.

Almost surely, 2^412145321280 is an apocalyptic number.

412145321280 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 412145321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848241331200).

412145321280 is an abundant number, since it is smaller than the sum of its proper divisors (1284337341120).

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

412145321280 is an equidigital number, since it uses as much as digits as its factorization.

412145321280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 412145321280 its reverse (82123541214), we get a palindrome (494268862494).

The spelling of 412145321280 in words is "four hundred twelve billion, one hundred forty-five million, three hundred twenty-one thousand, two hundred eighty".