412162478395200 has 2688 divisors, whose sum is σ = 1779985806950400. Its totient is φ = 93009071923200.

The previous prime is 412162478395189. The next prime is 412162478395279. The reversal of 412162478395200 is 2593874261214.

It is a happy number.

412162478395200 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 6 + 2 + 47 + 8 + 395 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26793366709 + ... + 26793382091.

It is an arithmetic number, because the mean of its divisors is an integer number (662197100800).

It is a 1-persistent number, because it is pandigital, but 2⋅412162478395200 = 824324956790400 is not.

Almost surely, 2^{412162478395200} is an apocalyptic number.

412162478395200 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 412162478395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889992903475200).

412162478395200 is an abundant number, since it is smaller than the sum of its proper divisors (1367823328555200).

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

412162478395200 is a wasteful number, since it uses less digits than its factorization.

412162478395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15489 (or 15456 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 412162478395200 in words is "four hundred twelve trillion, one hundred sixty-two billion, four hundred seventy-eight million, three hundred ninety-five thousand, two hundred".