443861245440 has 480 divisors, whose sum is σ = 1581874557120. Its totient is φ = 114969673728.

The previous prime is 443861245397. The next prime is 443861245501. The reversal of 443861245440 is 44542168344.

It is a happy number.

443861245440 is a `hidden beast` number, since 4 + 4 + 3 + 86 + 1 + 24 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 125773596 + ... + 125777124.

It is an arithmetic number, because the mean of its divisors is an integer number (3295571994).

Almost surely, 2^443861245440 is an apocalyptic number.

443861245440 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 443861245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790937278560).

443861245440 is an abundant number, since it is smaller than the sum of its proper divisors (1138013311680).

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

443861245440 is a wasteful number, since it uses less digits than its factorization.

443861245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3714 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 443861245440 in words is "four hundred forty-three billion, eight hundred sixty-one million, two hundred forty-five thousand, four hundred forty".