412210947456000 has 2816 divisors, whose sum is σ = 1999449545932800. Its totient is φ = 81145110528000.

The previous prime is 412210947455947. The next prime is 412210947456001. The reversal of 412210947456000 is 654749012214.

412210947456000 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 10 + 9 + 4 + 74 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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 (412210947456001) 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, 5056087237 + ... + 5056168763.

Almost surely, 2^{412210947456000} is an apocalyptic number.

412210947456000 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 412210947456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999724772966400).

412210947456000 is an abundant number, since it is smaller than the sum of its proper divisors (1587238598476800).

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

412210947456000 is a wasteful number, since it uses less digits than its factorization.

412210947456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81608 (or 81574 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 412210947456000 in words is "four hundred twelve trillion, two hundred ten billion, nine hundred forty-seven million, four hundred fifty-six thousand".