1800101363400 has 576 divisors, whose sum is σ = 6351352862400. Its totient is φ = 456420096000.

The previous prime is 1800101363377. The next prime is 1800101363413. The reversal of 1800101363400 is 43631010081.

1800101363400 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 10 + 13 + 634 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 711220135 + ... + 711222665.

It is an arithmetic number, because the mean of its divisors is an integer number (11026654275).

Almost surely, 2^{1800101363400} is an apocalyptic number.

1800101363400 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 1800101363400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175676431200).

1800101363400 is an abundant number, since it is smaller than the sum of its proper divisors (4551251499000).

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

1800101363400 is a wasteful number, since it uses less digits than its factorization.

1800101363400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 1800101363400 its reverse (43631010081), we get a palindrome (1843732373481).

The spelling of 1800101363400 in words is "one trillion, eight hundred billion, one hundred one million, three hundred sixty-three thousand, four hundred".