1801178726400 has 675 divisors, whose sum is σ = 6701368333891. Its totient is φ = 478252892160.

The previous prime is 1801178726381. The next prime is 1801178726401. The reversal of 1801178726400 is 46278711081.

The square root of 1801178726400 is 1342080.

It is a perfect power (a square), and thus also a powerful number.

1801178726400 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 178 + 72 + 6 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 354720301056 + 1446458425344 = 595584^2 + 1202688^2 .

It is a tau number, because it is divible by the number of its divisors (675).

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1801178726401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7730380684 + ... + 7730380916.

Almost surely, 2^{1801178726400} is an apocalyptic number.

1801178726400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1801178726400 is the 1342080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1801178726400

1801178726400 is an abundant number, since it is smaller than the sum of its proper divisors (4900189607491).

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

1801178726400 is an frugal number, since it uses more digits than its factorization.

1801178726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 1801178726400 in words is "one trillion, eight hundred one billion, one hundred seventy-eight million, seven hundred twenty-six thousand, four hundred".