441206161750400 has 384 divisors, whose sum is σ = 1153958240160000. Its totient is φ = 166399979397120.

The previous prime is 441206161750399. The next prime is 441206161750411. The reversal of 441206161750400 is 4057161602144.

It is a congruent number.

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, 28248033791 + ... + 28248049409.

It is an arithmetic number, because the mean of its divisors is an integer number (3005099583750).

Almost surely, 2^{441206161750400} is an apocalyptic number.

441206161750400 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 441206161750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576979120080000).

441206161750400 is an abundant number, since it is smaller than the sum of its proper divisors (712752078409600).

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

441206161750400 is a wasteful number, since it uses less digits than its factorization.

441206161750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22794 (or 22777 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 441206161750400 in words is "four hundred forty-one trillion, two hundred six billion, one hundred sixty-one million, seven hundred fifty thousand, four hundred".