1838130050400 has 288 divisors, whose sum is σ = 6839242760448. Its totient is φ = 420058060800.

The previous prime is 1838130050381. The next prime is 1838130050401. The reversal of 1838130050400 is 40500318381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1838130050401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121137214 + ... + 121152386.

It is an arithmetic number, because the mean of its divisors is an integer number (23747370696).

Almost surely, 2^{1838130050400} is an apocalyptic number.

1838130050400 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 1838130050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419621380224).

1838130050400 is an abundant number, since it is smaller than the sum of its proper divisors (5001112710048).

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

1838130050400 is a wasteful number, since it uses less digits than its factorization.

1838130050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22414 (or 22401 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 1838130050400 its reverse (40500318381), we get a palindrome (1878630368781).

The spelling of 1838130050400 in words is "one trillion, eight hundred thirty-eight billion, one hundred thirty million, fifty thousand, four hundred".