412131442544000 has 256 divisors, whose sum is σ = 1085897802412800. Its totient is φ = 155017823846400.

The previous prime is 412131442543987. The next prime is 412131442544039. The reversal of 412131442544000 is 445244131214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306416969 + ... + 307759031.

It is an arithmetic number, because the mean of its divisors is an integer number (4241788290675).

Almost surely, 2^{412131442544000} is an apocalyptic number.

412131442544000 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 412131442544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542948901206400).

412131442544000 is an abundant number, since it is smaller than the sum of its proper divisors (673766359868800).

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

412131442544000 is a wasteful number, since it uses less digits than its factorization.

412131442544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343238 (or 1343216 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 412131442544000 its reverse (445244131214), we get a palindrome (412576686675214).

The spelling of 412131442544000 in words is "four hundred twelve trillion, one hundred thirty-one billion, four hundred forty-two million, five hundred forty-four thousand".