441328389840 has 800 divisors, whose sum is σ = 1795260408480. Its totient is φ = 99469099008.

The previous prime is 441328389839. The next prime is 441328389841. The reversal of 441328389840 is 48983823144.

441328389840 is a `hidden beast` number, since 441 + 3 + 2 + 83 + 89 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (441328389839) and next prime (441328389841).

It can be written as a sum of positive squares in 16 ways, for example, as 100407864384 + 340920525456 = 316872^2 + 583884^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441328389841) 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, 52982796 + ... + 52991124.

Almost surely, 2^441328389840 is an apocalyptic number.

441328389840 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 441328389840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897630204240).

441328389840 is an abundant number, since it is smaller than the sum of its proper divisors (1353932018640).

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

441328389840 is a wasteful number, since it uses less digits than its factorization.

441328389840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8421 (or 8406 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 441328389840 in words is "four hundred forty-one billion, three hundred twenty-eight million, three hundred eighty-nine thousand, eight hundred forty".