20432330541400 has 384 divisors, whose sum is σ = 49991620331520. Its totient is φ = 7759539200000.

The previous prime is 20432330541383. The next prime is 20432330541431. The reversal of 20432330541400 is 414503323402.

It is a happy number.

It is a super-2 number, since 2×20432330541400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26849317020 + ... + 26849317780.

It is an arithmetic number, because the mean of its divisors is an integer number (130186511280).

Almost surely, 2^{20432330541400} is an apocalyptic number.

20432330541400 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 20432330541400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24995810165760).

20432330541400 is an abundant number, since it is smaller than the sum of its proper divisors (29559289790120).

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

20432330541400 is a wasteful number, since it uses less digits than its factorization.

20432330541400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 20432330541400 its reverse (414503323402), we get a palindrome (20846833864802).

The spelling of 20432330541400 in words is "twenty trillion, four hundred thirty-two billion, three hundred thirty million, five hundred forty-one thousand, four hundred".