20432443343400 has 288 divisors, whose sum is σ = 74862359395200. Its totient is φ = 4952967782400.

The previous prime is 20432443343363. The next prime is 20432443343441. The reversal of 20432443343400 is 434334423402.

20432443343400 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 244 + 3 + 3 + 4 + 3 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 376351057 + ... + 376405343.

It is an arithmetic number, because the mean of its divisors is an integer number (259938747900).

Almost surely, 2^{20432443343400} is an apocalyptic number.

20432443343400 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 20432443343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37431179697600).

20432443343400 is an abundant number, since it is smaller than the sum of its proper divisors (54429916051800).

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

20432443343400 is a wasteful number, since it uses less digits than its factorization.

20432443343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73329 (or 73317 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 20432443343400 its reverse (434334423402), we get a palindrome (20866777766802).

The spelling of 20432443343400 in words is "twenty trillion, four hundred thirty-two billion, four hundred forty-three million, three hundred forty-three thousand, four hundred".