441250115328 has 972 divisors, whose sum is σ = 1523052461112. Its totient is φ = 127277568000.

The previous prime is 441250115311. The next prime is 441250115353. The reversal of 441250115328 is 823511052144.

It is a tau number, because it is divible by the number of its divisors (972).

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

It is a junction number, because it is equal to n+sod(n) for n = 441250115292 and 441250115301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7233608418 + ... + 7233608478.

Almost surely, 2^441250115328 is an apocalyptic number.

441250115328 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 441250115328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761526230556).

441250115328 is an abundant number, since it is smaller than the sum of its proper divisors (1081802345784).

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

441250115328 is an equidigital number, since it uses as much as digits as its factorization.

441250115328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 441250115328 in words is "four hundred forty-one billion, two hundred fifty million, one hundred fifteen thousand, three hundred twenty-eight".