1404020210000 has 200 divisors, whose sum is σ = 3531256667400. Its totient is φ = 539965440000.

The previous prime is 1404020209997. The next prime is 1404020210039. The reversal of 1404020210000 is 120204041.

It can be written as a sum of positive squares in 20 ways, for example, as 1401032057104 + 2988152896 = 1183652^2 + 54664^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69879956 + ... + 69900044.

It is an arithmetic number, because the mean of its divisors is an integer number (17656283337).

Almost surely, 2^{1404020210000} is an apocalyptic number.

1404020210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1404020210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765628333700).

1404020210000 is an abundant number, since it is smaller than the sum of its proper divisors (2127236457400).

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

1404020210000 is a wasteful number, since it uses less digits than its factorization.

1404020210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20387 (or 20366 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1404020210000 its reverse (120204041), we get a palindrome (1404140414041).

The spelling of 1404020210000 in words is "one trillion, four hundred four billion, twenty million, two hundred ten thousand".