4131803047680 has 2592 divisors, whose sum is σ = 19058710454784. Its totient is φ = 802234368000.

The previous prime is 4131803047613. The next prime is 4131803047783. The reversal of 4131803047680 is 867403081314.

4131803047680 is a `hidden beast` number, since 41 + 31 + 8 + 0 + 30 + 476 + 80 = 666.

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 287 ways as a sum of consecutive naturals, for example, 31540481215 + ... + 31540481345.

It is an arithmetic number, because the mean of its divisors is an integer number (7352897552).

Almost surely, 2^{4131803047680} is an apocalyptic number.

4131803047680 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 4131803047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9529355227392).

4131803047680 is an abundant number, since it is smaller than the sum of its proper divisors (14926907407104).

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

4131803047680 is a wasteful number, since it uses less digits than its factorization.

4131803047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 4131803047680 in words is "four trillion, one hundred thirty-one billion, eight hundred three million, forty-seven thousand, six hundred eighty".