412971955200 has 1320 divisors, whose sum is σ = 1825100483712. Its totient is φ = 90216529920.

The previous prime is 412971955171. The next prime is 412971955211. The reversal of 412971955200 is 2559179214.

412971955200 is a `hidden beast` number, since 4 + 1 + 2 + 97 + 1 + 9 + 552 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 333848982 + ... + 333850218.

Almost surely, 2^412971955200 is an apocalyptic number.

412971955200 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 412971955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912550241856).

412971955200 is an abundant number, since it is smaller than the sum of its proper divisors (1412128528512).

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

412971955200 is a wasteful number, since it uses less digits than its factorization.

412971955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 412971955200 in words is "four hundred twelve billion, nine hundred seventy-one million, nine hundred fifty-five thousand, two hundred".