20211024131400 has 192 divisors, whose sum is σ = 64899876499200. Its totient is φ = 5196916480000.

The previous prime is 20211024131393. The next prime is 20211024131447. The reversal of 20211024131400 is 413142011202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12478225 + ... + 14004575.

It is an arithmetic number, because the mean of its divisors is an integer number (338020190100).

Almost surely, 2^{20211024131400} is an apocalyptic number.

20211024131400 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 20211024131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32449938249600).

20211024131400 is an abundant number, since it is smaller than the sum of its proper divisors (44688852367800).

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

20211024131400 is a wasteful number, since it uses less digits than its factorization.

20211024131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527160 (or 1527151 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 20211024131400 its reverse (413142011202), we get a palindrome (20624166142602).

The spelling of 20211024131400 in words is "twenty trillion, two hundred eleven billion, twenty-four million, one hundred thirty-one thousand, four hundred".