1404013313430 has 512 divisors, whose sum is σ = 4735593676800. Its totient is φ = 288111250944.

The previous prime is 1404013313407. The next prime is 1404013313441. The reversal of 1404013313430 is 343133104041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1404013313394 and 1404013313403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 188227041 + ... + 188234499.

It is an arithmetic number, because the mean of its divisors is an integer number (9249206400).

Almost surely, 2^{1404013313430} is an apocalyptic number.

1404013313430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1404013313430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367796838400).

1404013313430 is an abundant number, since it is smaller than the sum of its proper divisors (3331580363370).

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

1404013313430 is a wasteful number, since it uses less digits than its factorization.

1404013313430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7705 (or 7699 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1404013313430 its reverse (343133104041), we get a palindrome (1747146417471).

The spelling of 1404013313430 in words is "one trillion, four hundred four billion, thirteen million, three hundred thirteen thousand, four hundred thirty".