20210540214400 has 96 divisors (see below), whose sum is σ = 49936441006080. Its totient is φ = 8082582144000.

The previous prime is 20210540214383. The next prime is 20210540214401. The reversal of 20210540214400 is 441204501202.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (20210540214401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15258625 + ... + 16530175.

It is an arithmetic number, because the mean of its divisors is an integer number (520171260480).

Almost surely, 2^{20210540214400} is an apocalyptic number.

20210540214400 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 20210540214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24968220503040).

20210540214400 is an abundant number, since it is smaller than the sum of its proper divisors (29725900791680).

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

20210540214400 is a wasteful number, since it uses less digits than its factorization.

20210540214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276542 (or 1276525 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 20210540214400 its reverse (441204501202), we get a palindrome (20651744715602).

The spelling of 20210540214400 in words is "twenty trillion, two hundred ten billion, five hundred forty million, two hundred fourteen thousand, four hundred".