1404202241000 has 192 divisors, whose sum is σ = 3570815242800. Its totient is φ = 516612096000.

The previous prime is 1404202240963. The next prime is 1404202241021. The reversal of 1404202241000 is 1422024041.

It can be written as a sum of positive squares in 24 ways, for example, as 846190252996 + 558011988004 = 919886^2 + 747002^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47474216 + ... + 47503784.

Almost surely, 2^{1404202241000} is an apocalyptic number.

1404202241000 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 1404202241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785407621400).

1404202241000 is an abundant number, since it is smaller than the sum of its proper divisors (2166613001800).

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

1404202241000 is a wasteful number, since it uses less digits than its factorization.

1404202241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29897 (or 29870 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 1404202241000 its reverse (1422024041), we get a palindrome (1405624265041).

The spelling of 1404202241000 in words is "one trillion, four hundred four billion, two hundred two million, two hundred forty-one thousand".