20102041400 has 192 divisors, whose sum is σ = 56792793600. Its totient is φ = 6467535360.

The previous prime is 20102041381. The next prime is 20102041403. The reversal of 20102041400 is 414020102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102041403) 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, 1700711 + ... + 1712489.

It is an arithmetic number, because the mean of its divisors is an integer number (295795800).

Almost surely, 2^20102041400 is an apocalyptic number.

20102041400 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 20102041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28396396800).

20102041400 is an abundant number, since it is smaller than the sum of its proper divisors (36690752200).

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

20102041400 is a wasteful number, since it uses less digits than its factorization.

20102041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11878 (or 11869 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20102041400 its reverse (414020102), we get a palindrome (20516061502).

The spelling of 20102041400 in words is "twenty billion, one hundred two million, forty-one thousand, four hundred".