20234140400 has 120 divisors (see below), whose sum is σ = 49201278000. Its totient is φ = 7996262400.

The previous prime is 20234140393. The next prime is 20234140427. The reversal of 20234140400 is 404143202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12574796 + ... + 12576404.

It is an arithmetic number, because the mean of its divisors is an integer number (410010650).

Almost surely, 2^20234140400 is an apocalyptic number.

20234140400 is a gapful number since it is divisible by the number (20) 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 20234140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24600639000).

20234140400 is an abundant number, since it is smaller than the sum of its proper divisors (28967137600).

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

20234140400 is a wasteful number, since it uses less digits than its factorization.

20234140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20234140400 its reverse (404143202), we get a palindrome (20638283602).

The spelling of 20234140400 in words is "twenty billion, two hundred thirty-four million, one hundred forty thousand, four hundred".