20084102841400 has 192 divisors, whose sum is σ = 53359663200480. Its totient is φ = 6964500480000.

The previous prime is 20084102841367. The next prime is 20084102841401. The reversal of 20084102841400 is 414820148002.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20084102841401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20154900 + ... + 21127900.

Almost surely, 2^{20084102841400} is an apocalyptic number.

20084102841400 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 20084102841400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26679831600240).

20084102841400 is an abundant number, since it is smaller than the sum of its proper divisors (33275560359080).

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

20084102841400 is a wasteful number, since it uses less digits than its factorization.

20084102841400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973514 (or 973505 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

Adding to 20084102841400 its reverse (414820148002), we get a palindrome (20498922989402).

The spelling of 20084102841400 in words is "twenty trillion, eighty-four billion, one hundred two million, eight hundred forty-one thousand, four hundred".