1404042120 has 128 divisors (see below), whose sum is σ = 5040201600. Its totient is φ = 345606912.

The previous prime is 1404042113. The next prime is 1404042161. The reversal of 1404042120 is 212404041.

1404042120 is a `hidden beast` number, since 140 + 404 + 2 + 120 = 666.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

1404042120 is a modest number, since divided by 42120 gives 14040 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1404042093 and 1404042102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35962 + ... + 64041.

It is an arithmetic number, because the mean of its divisors is an integer number (39376575).

Almost surely, 2^1404042120 is an apocalyptic number.

1404042120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1404042120 is an abundant number, since it is smaller than the sum of its proper divisors (3636159480).

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

1404042120 is a wasteful number, since it uses less digits than its factorization.

1404042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100036 (or 100026 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1404042120 is about 37470.5500359949. The cubic root of 1404042120 is about 1119.7645444667.

Adding to 1404042120 its reverse (212404041), we get a palindrome (1616446161).

The spelling of 1404042120 in words is "one billion, four hundred four million, forty-two thousand, one hundred twenty".