446871815040 has 1280 divisors, whose sum is σ = 1777295001600. Its totient is φ = 95338414080.

The previous prime is 446871815029. The next prime is 446871815041. The reversal of 446871815040 is 40518178644.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446871815041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7574098531 + ... + 7574098589.

It is an arithmetic number, because the mean of its divisors is an integer number (1388511720).

Almost surely, 2^446871815040 is an apocalyptic number.

446871815040 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 446871815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888647500800).

446871815040 is an abundant number, since it is smaller than the sum of its proper divisors (1330423186560).

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

446871815040 is an equidigital number, since it uses as much as digits as its factorization.

446871815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 446871815040 in words is "four hundred forty-six billion, eight hundred seventy-one million, eight hundred fifteen thousand, forty".