412535552000 has 768 divisors, whose sum is σ = 1236346675200. Its totient is φ = 135413760000.

The previous prime is 412535551979. The next prime is 412535552047. The reversal of 412535552000 is 255535214.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2159871905 + ... + 2159872095.

It is an arithmetic number, because the mean of its divisors is an integer number (1609826400).

Almost surely, 2^412535552000 is an apocalyptic number.

412535552000 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 412535552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618173337600).

412535552000 is an abundant number, since it is smaller than the sum of its proper divisors (823811123200).

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

412535552000 is a wasteful number, since it uses less digits than its factorization.

412535552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 32.

The spelling of 412535552000 in words is "four hundred twelve billion, five hundred thirty-five million, five hundred fifty-two thousand".