1404120120 has 128 divisors (see below), whose sum is σ = 4560192000. Its totient is φ = 343816704.

The previous prime is 1404120119. The next prime is 1404120163. The reversal of 1404120120 is 210214041.

It is a super-2 number, since 2×1404120120² = 3943106622777628800, which contains 22 as substring.

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 1404120120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308179 + ... + 312701.

It is an arithmetic number, because the mean of its divisors is an integer number (35626500).

Almost surely, 2^1404120120 is an apocalyptic number.

1404120120 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 1404120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280096000).

1404120120 is an abundant number, since it is smaller than the sum of its proper divisors (3156071880).

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

1404120120 is a wasteful number, since it uses less digits than its factorization.

1404120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4749 (or 4745 counting only the distinct ones).

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

The square root of 1404120120 is about 37471.5908389276. The cubic root of 1404120120 is about 1119.7852798411.

Adding to 1404120120 its reverse (210214041), we get a palindrome (1614334161).

The spelling of 1404120120 in words is "one billion, four hundred four million, one hundred twenty thousand, one hundred twenty".