3141003169440 has 768 divisors, whose sum is σ = 11957813360640. Its totient is φ = 767108136960.

The previous prime is 3141003169411. The next prime is 3141003169459. The reversal of 3141003169440 is 449613001413.

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 = 3141003169395 and 3141003169404.

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 127 ways as a sum of consecutive naturals, for example, 408395995 + ... + 408403685.

It is an arithmetic number, because the mean of its divisors is an integer number (15570069480).

Almost surely, 2^{3141003169440} is an apocalyptic number.

3141003169440 is a gapful number since it is divisible by the number (30) 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 3141003169440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978906680320).

3141003169440 is an abundant number, since it is smaller than the sum of its proper divisors (8816810191200).

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

3141003169440 is a wasteful number, since it uses less digits than its factorization.

3141003169440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7882 (or 7868 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 3141003169440 in words is "three trillion, one hundred forty-one billion, three million, one hundred sixty-nine thousand, four hundred forty".