412047820800 has 2304 divisors, whose sum is σ = 1949875200000. Its totient is φ = 84536524800.

The previous prime is 412047820661. The next prime is 412047820831. The reversal of 412047820800 is 8028740214.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×412047820800³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5215795161 + ... + 5215795239.

It is an arithmetic number, because the mean of its divisors is an integer number (846300000).

Almost surely, 2^412047820800 is an apocalyptic number.

412047820800 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 412047820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974937600000).

412047820800 is an abundant number, since it is smaller than the sum of its proper divisors (1537827379200).

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

412047820800 is a wasteful number, since it uses less digits than its factorization.

412047820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 412047820800 in words is "four hundred twelve billion, forty-seven million, eight hundred twenty thousand, eight hundred".