140404102004430 has 256 divisors, whose sum is σ = 433586487859200. Its totient is φ = 31952803461120.

The previous prime is 140404102004407. The next prime is 140404102004437. The reversal of 140404102004430 is 34400201404041.

140404102004430 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 0 + 4 + 10 + 200 + 443 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 140404102004394 and 140404102004403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140404102004437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16066279 + ... + 23214941.

It is an arithmetic number, because the mean of its divisors is an integer number (1693697218200).

Almost surely, 2^{140404102004430} is an apocalyptic number.

140404102004430 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 140404102004430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216793243929600).

140404102004430 is an abundant number, since it is smaller than the sum of its proper divisors (293182385854770).

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

140404102004430 is a wasteful number, since it uses less digits than its factorization.

140404102004430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7149096 (or 7149090 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 140404102004430 its reverse (34400201404041), we get a palindrome (174804303408471).

The spelling of 140404102004430 in words is "one hundred forty trillion, four hundred four billion, one hundred two million, four thousand, four hundred thirty".