4131918489600 has 864 divisors, whose sum is σ = 17093044725120. Its totient is φ = 942735360000.

The previous prime is 4131918489599. The next prime is 4131918489631. The reversal of 4131918489600 is 69848191314.

4131918489600 is a `hidden beast` number, since 4 + 1 + 3 + 19 + 18 + 4 + 8 + 9 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86145625 + ... + 86193575.

It is an arithmetic number, because the mean of its divisors is an integer number (19783616580).

Almost surely, 2^{4131918489600} is an apocalyptic number.

4131918489600 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 4131918489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8546522362560).

4131918489600 is an abundant number, since it is smaller than the sum of its proper divisors (12961126235520).

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

4131918489600 is a wasteful number, since it uses less digits than its factorization.

4131918489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48017 (or 47989 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 4131918489600 in words is "four trillion, one hundred thirty-one billion, nine hundred eighteen million, four hundred eighty-nine thousand, six hundred".