412026567741360 has 1280 divisors, whose sum is σ = 1721863393689600. Its totient is φ = 89187891609600.

The previous prime is 412026567741359. The next prime is 412026567741361. The reversal of 412026567741360 is 63147765620214.

412026567741360 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 2 + 6 + 567 + 7 + 4 + 13 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (412026567741359) and next prime (412026567741361).

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

It is a junction number, because it is equal to n+sod(n) for n = 412026567741297 and 412026567741306.

It is not an unprimeable number, because it can be changed into a prime (412026567741361) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24981897274 + ... + 24981913766.

It is an arithmetic number, because the mean of its divisors is an integer number (1345205776320).

Almost surely, 2^{412026567741360} is an apocalyptic number.

412026567741360 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 412026567741360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860931696844800).

412026567741360 is an abundant number, since it is smaller than the sum of its proper divisors (1309836825948240).

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

412026567741360 is a wasteful number, since it uses less digits than its factorization.

412026567741360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19179 (or 19167 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

It can be divided in two parts, 41202656 and 7741360, that added together give a square (48944016 = 6996²).

The spelling of 412026567741360 in words is "four hundred twelve trillion, twenty-six billion, five hundred sixty-seven million, seven hundred forty-one thousand, three hundred sixty".