20214130340400 has 240 divisors, whose sum is σ = 65601359577600. Its totient is φ = 5319838817280.

The previous prime is 20214130340381. The next prime is 20214130340407. The reversal of 20214130340400 is 404303141202.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×20214130340400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20214130340407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218847027 + ... + 218939373.

It is an arithmetic number, because the mean of its divisors is an integer number (273338998240).

Almost surely, 2^{20214130340400} is an apocalyptic number.

20214130340400 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 20214130340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32800679788800).

20214130340400 is an abundant number, since it is smaller than the sum of its proper divisors (45387229237200).

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

20214130340400 is a wasteful number, since it uses less digits than its factorization.

20214130340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94756 (or 94745 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20214130340400 its reverse (404303141202), we get a palindrome (20618433481602).

The spelling of 20214130340400 in words is "twenty trillion, two hundred fourteen billion, one hundred thirty million, three hundred forty thousand, four hundred".