1004343541200 has 90 divisors (see below), whose sum is σ = 3485351084774. Its totient is φ = 267824943360.

The previous prime is 1004343541199. The next prime is 1004343541241. The reversal of 1004343541200 is 21453434001.

It is a happy number.

1004343541200 is a `hidden beast` number, since 100 + 4 + 3 + 4 + 354 + 1 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 483824016 + 1003859717184 = 21996^2 + 1001928^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 139488559 + ... + 139495758.

Almost surely, 2^{1004343541200} is an apocalyptic number.

1004343541200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004343541200 is an abundant number, since it is smaller than the sum of its proper divisors (2481007543574).

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

1004343541200 is a wasteful number, since it uses less digits than its factorization.

1004343541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278984341 (or 278984327 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1004343541200 its reverse (21453434001), we get a palindrome (1025796975201).

The spelling of 1004343541200 in words is "one trillion, four billion, three hundred forty-three million, five hundred forty-one thousand, two hundred".