4463404323840 has 3564 divisors, whose sum is σ = 21635189106804. Its totient is φ = 844745932800.

The previous prime is 4463404323827. The next prime is 4463404323877. The reversal of 4463404323840 is 483234043644.

4463404323840 is a `hidden beast` number, since 4 + 4 + 6 + 3 + 404 + 3 + 238 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2573021316096 + 1890383007744 = 1604064^2 + 1374912^2 .

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 323 ways as a sum of consecutive naturals, for example, 143980784625 + ... + 143980784655.

Almost surely, 2^{4463404323840} is an apocalyptic number.

4463404323840 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 4463404323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10817594553402).

4463404323840 is an abundant number, since it is smaller than the sum of its proper divisors (17171784782964).

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

4463404323840 is a wasteful number, since it uses less digits than its factorization.

4463404323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 45.

The spelling of 4463404323840 in words is "four trillion, four hundred sixty-three billion, four hundred four million, three hundred twenty-three thousand, eight hundred forty".