1404242230314 has 384 divisors, whose sum is σ = 3792199680000. Its totient is φ = 336571666560.

The previous prime is 1404242230301. The next prime is 1404242230327. The reversal of 1404242230314 is 4130322424041.

It is an interprime number because it is at equal distance from previous prime (1404242230301) and next prime (1404242230327).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2814112437 + ... + 2814112935.

It is an arithmetic number, because the mean of its divisors is an integer number (9875520000).

Almost surely, 2^{1404242230314} is an apocalyptic number.

1404242230314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1404242230314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896099840000).

1404242230314 is an abundant number, since it is smaller than the sum of its proper divisors (2387957449686).

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

1404242230314 is a wasteful number, since it uses less digits than its factorization.

1404242230314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1404242230314 its reverse (4130322424041), we get a palindrome (5534564654355).

The spelling of 1404242230314 in words is "one trillion, four hundred four billion, two hundred forty-two million, two hundred thirty thousand, three hundred fourteen".