1838437413120 has 2304 divisors, whose sum is σ = 8674670592000. Its totient is φ = 364807618560.

The previous prime is 1838437413103. The next prime is 1838437413139. The reversal of 1838437413120 is 213147348381.

1838437413120 is a `hidden beast` number, since 1 + 8 + 3 + 84 + 37 + 413 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 255 ways as a sum of consecutive naturals, for example, 2999081934 + ... + 2999082546.

It is an arithmetic number, because the mean of its divisors is an integer number (3765048000).

Almost surely, 2^{1838437413120} is an apocalyptic number.

1838437413120 is a gapful number since it is divisible by the number (10) 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 1838437413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337335296000).

1838437413120 is an abundant number, since it is smaller than the sum of its proper divisors (6836233178880).

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

1838437413120 is a wasteful number, since it uses less digits than its factorization.

1838437413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 664 counting only the distinct ones).

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

The spelling of 1838437413120 in words is "one trillion, eight hundred thirty-eight billion, four hundred thirty-seven million, four hundred thirteen thousand, one hundred twenty".