4163312523440 has 320 divisors, whose sum is σ = 12116978749440. Its totient is φ = 1298541404160.

The previous prime is 4163312523413. The next prime is 4163312523499. The reversal of 4163312523440 is 443252133614.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 4163312523394 and 4163312523403.

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 63 ways as a sum of consecutive naturals, for example, 26425700 + ... + 26582780.

It is an arithmetic number, because the mean of its divisors is an integer number (37865558592).

Almost surely, 2^{4163312523440} is an apocalyptic number.

4163312523440 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 4163312523440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6058489374720).

4163312523440 is an abundant number, since it is smaller than the sum of its proper divisors (7953666226000).

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

4163312523440 is a wasteful number, since it uses less digits than its factorization.

4163312523440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157220 (or 157214 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The spelling of 4163312523440 in words is "four trillion, one hundred sixty-three billion, three hundred twelve million, five hundred twenty-three thousand, four hundred forty".