20004140310 has 256 divisors, whose sum is σ = 63282954240. Its totient is φ = 3920693760.

The previous prime is 20004140297. The next prime is 20004140311. The reversal of 20004140310 is 1304140002.

It is a super-2 number, since 2×20004140310² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20004140310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20004140311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11542204 + ... + 11543936.

It is an arithmetic number, because the mean of its divisors is an integer number (247199040).

Almost surely, 2^20004140310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20004140310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31641477120).

20004140310 is an abundant number, since it is smaller than the sum of its proper divisors (43278813930).

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

20004140310 is a wasteful number, since it uses less digits than its factorization.

20004140310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20004140310 its reverse (1304140002), we get a palindrome (21308280312).

The spelling of 20004140310 in words is "twenty billion, four million, one hundred forty thousand, three hundred ten".