412005320553200 has 180 divisors, whose sum is σ = 1088455043783184. Its totient is φ = 149758697088000.

The previous prime is 412005320553181. The next prime is 412005320553287. The reversal of 412005320553200 is 2355023500214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 116400749 + ... + 119888051.

Almost surely, 2^{412005320553200} is an apocalyptic number.

412005320553200 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 412005320553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544227521891592).

412005320553200 is an abundant number, since it is smaller than the sum of its proper divisors (676449723229984).

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

412005320553200 is a wasteful number, since it uses less digits than its factorization.

412005320553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489784 (or 3489762 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 412005320553200 in words is "four hundred twelve trillion, five billion, three hundred twenty million, five hundred fifty-three thousand, two hundred".