20142041400 has 576 divisors, whose sum is σ = 75305805120. Its totient is φ = 4794163200.

The previous prime is 20142041369. The next prime is 20142041449. The reversal of 20142041400 is 414024102.

20142041400 is a `hidden beast` number, since 201 + 4 + 20 + 41 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 147022132 + ... + 147022268.

It is an arithmetic number, because the mean of its divisors is an integer number (130739245).

Almost surely, 2^20142041400 is an apocalyptic number.

20142041400 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 20142041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37652902560).

20142041400 is an abundant number, since it is smaller than the sum of its proper divisors (55163763720).

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

20142041400 is a wasteful number, since it uses less digits than its factorization.

20142041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20142041400 its reverse (414024102), we get a palindrome (20556065502).

The spelling of 20142041400 in words is "twenty billion, one hundred forty-two million, forty-one thousand, four hundred".