412210410048 has 336 divisors, whose sum is σ = 1242985860480. Its totient is φ = 135432290304.

The previous prime is 412210409983. The next prime is 412210410061. The reversal of 412210410048 is 840014012214.

412210410048 is a `hidden beast` number, since 412 + 2 + 104 + 100 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443713648 + ... + 443714576.

It is an arithmetic number, because the mean of its divisors is an integer number (3699362680).

Almost surely, 2^412210410048 is an apocalyptic number.

412210410048 is a gapful number since it is divisible by the number (48) 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 412210410048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621492930240).

412210410048 is an abundant number, since it is smaller than the sum of its proper divisors (830775450432).

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

412210410048 is a wasteful number, since it uses less digits than its factorization.

412210410048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 412210410048 in words is "four hundred twelve billion, two hundred ten million, four hundred ten thousand, forty-eight".