1842181820400 has 60 divisors (see below), whose sum is σ = 5901122435192. Its totient is φ = 491248485120.

The previous prime is 1842181820399. The next prime is 1842181820467. The reversal of 1842181820400 is 40281812481.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 767574559 + ... + 767576958.

Almost surely, 2^{1842181820400} is an apocalyptic number.

1842181820400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1842181820400 is an abundant number, since it is smaller than the sum of its proper divisors (4058940614792).

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

1842181820400 is a wasteful number, since it uses less digits than its factorization.

1842181820400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535151538 (or 1535151527 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The spelling of 1842181820400 in words is "one trillion, eight hundred forty-two billion, one hundred eighty-one million, eight hundred twenty thousand, four hundred".