1801535342400 has 2688 divisors, whose sum is σ = 7771902566400. Its totient is φ = 402908774400.

The previous prime is 1801535342351. The next prime is 1801535342413. The reversal of 1801535342400 is 42435351081.

1801535342400 is a `hidden beast` number, since 1 + 80 + 1 + 5 + 3 + 534 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 26888587167 + ... + 26888587233.

It is an arithmetic number, because the mean of its divisors is an integer number (2891332800).

Almost surely, 2^{1801535342400} is an apocalyptic number.

1801535342400 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 1801535342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885951283200).

1801535342400 is an abundant number, since it is smaller than the sum of its proper divisors (5970367224000).

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

1801535342400 is a wasteful number, since it uses less digits than its factorization.

1801535342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1801535342400 in words is "one trillion, eight hundred one billion, five hundred thirty-five million, three hundred forty-two thousand, four hundred".