20000002140400 has 120 divisors (see below), whose sum is σ = 50633415169200. Its totient is φ = 7570787328000.

The previous prime is 20000002140359. The next prime is 20000002140413. The reversal of 20000002140400 is 404120000002.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5644050 + ... + 8476750.

It is an arithmetic number, because the mean of its divisors is an integer number (421945126410).

Almost surely, 2^{20000002140400} is an apocalyptic number.

20000002140400 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 20000002140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25316707584600).

20000002140400 is an abundant number, since it is smaller than the sum of its proper divisors (30633413028800).

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

20000002140400 is a wasteful number, since it uses less digits than its factorization.

20000002140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833667 (or 2833656 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 20000002140400 its reverse (404120000002), we get a palindrome (20404122140402).

The spelling of 20000002140400 in words is "twenty trillion, two million, one hundred forty thousand, four hundred".