1804938510400 has 63 divisors (see below), whose sum is σ = 4441409058109. Its totient is φ = 721953908480.

The previous prime is 1804938510383. The next prime is 1804938510523. The reversal of 1804938510400 is 40158394081.

The square root of 1804938510400 is 1343480.

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

It can be written as a sum of positive squares in only one way, i.e., 649777863744 + 1155160646656 = 806088^2 + 1074784^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53722407 + ... + 53755993.

Almost surely, 2^{1804938510400} is an apocalyptic number.

1804938510400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1804938510400 is the 1343480-th square number.

It is an amenable number.

1804938510400 is an abundant number, since it is smaller than the sum of its proper divisors (2636470547709).

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

1804938510400 is an frugal number, since it uses more digits than its factorization.

1804938510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67196 (or 33594 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 1804938510400 in words is "one trillion, eight hundred four billion, nine hundred thirty-eight million, five hundred ten thousand, four hundred".