1404201120 has 192 divisors, whose sum is σ = 5173217280. Its totient is φ = 313463808.

The previous prime is 1404201119. The next prime is 1404201143. The reversal of 1404201120 is 211024041.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1404201120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139621 + ... + 149339.

It is an arithmetic number, because the mean of its divisors is an integer number (26943840).

Almost surely, 2^1404201120 is an apocalyptic number.

1404201120 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 1404201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586608640).

1404201120 is an abundant number, since it is smaller than the sum of its proper divisors (3769016160).

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

1404201120 is a wasteful number, since it uses less digits than its factorization.

1404201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9787 (or 9779 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1404201120 is about 37472.6716421448. The cubic root of 1404201120 is about 1119.8068119171.

Adding to 1404201120 its reverse (211024041), we get a palindrome (1615225161).

The spelling of 1404201120 in words is "one billion, four hundred four million, two hundred one thousand, one hundred twenty".