1406504002000 has 80 divisors (see below), whose sum is σ = 3518200155600. Its totient is φ = 543201523200.

The previous prime is 1406504001983. The next prime is 1406504002039. The reversal of 1406504002000 is 2004056041.

It can be written as a sum of positive squares in 8 ways, for example, as 376019145616 + 1030484856384 = 613204^2 + 1015128^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12067035 + ... + 12183034.

It is an arithmetic number, because the mean of its divisors is an integer number (43977501945).

Almost surely, 2^{1406504002000} is an apocalyptic number.

1406504002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1406504002000 is an abundant number, since it is smaller than the sum of its proper divisors (2111696153600).

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

1406504002000 is a wasteful number, since it uses less digits than its factorization.

1406504002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24250121 (or 24250105 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 1406504002000 its reverse (2004056041), we get a palindrome (1408508058041).

The spelling of 1406504002000 in words is "one trillion, four hundred six billion, five hundred four million, two thousand".