3138418483200 has 4032 divisors, whose sum is σ = 15951925261440. Its totient is φ = 601974374400.

The previous prime is 3138418483199. The next prime is 3138418483223. The reversal of 3138418483200 is 23848148313.

It is a Jordan-Polya number, since it can be written as 14! ⋅ (3!)².

3138418483200 is a `hidden beast` number, since 3 + 138 + 4 + 18 + 483 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 241416806394 + ... + 241416806406.

It is an arithmetic number, because the mean of its divisors is an integer number (3956330670).

Almost surely, 2^{3138418483200} is an apocalyptic number.

3138418483200 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 3138418483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7975962630720).

3138418483200 is an abundant number, since it is smaller than the sum of its proper divisors (12813506778240).

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

3138418483200 is an equidigital number, since it uses as much as digits as its factorization.

3138418483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 3138418483200 in words is "three trillion, one hundred thirty-eight billion, four hundred eighteen million, four hundred eighty-three thousand, two hundred".