1404220240 has 80 divisors (see below), whose sum is σ = 3305141136. Its totient is φ = 554803200.

The previous prime is 1404220231. The next prime is 1404220249. The reversal of 1404220240 is 420224041.

It is an interprime number because it is at equal distance from previous prime (1404220231) and next prime (1404220249).

It can be written as a sum of positive squares in 8 ways, for example, as 4562496 + 1399657744 = 2136^2 + 37412^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404220249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3335230 + ... + 3335650.

Almost surely, 2^1404220240 is an apocalyptic number.

1404220240 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 1404220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652570568).

1404220240 is an abundant number, since it is smaller than the sum of its proper divisors (1900920896).

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

1404220240 is a wasteful number, since it uses less digits than its factorization.

1404220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 1404220240 is about 37472.9267605294. The cubic root of 1404220240 is about 1119.8118944296.

Adding to 1404220240 its reverse (420224041), we get a palindrome (1824444281).

The spelling of 1404220240 in words is "one billion, four hundred four million, two hundred twenty thousand, two hundred forty".