20134200400 has 120 divisors (see below), whose sum is σ = 48797089088. Its totient is φ = 7983360000.

The previous prime is 20134200329. The next prime is 20134200403. The reversal of 20134200400 is 400243102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20134200403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31908085 + ... + 31908715.

Almost surely, 2^20134200400 is an apocalyptic number.

20134200400 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 20134200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24398544544).

20134200400 is an abundant number, since it is smaller than the sum of its proper divisors (28662888688).

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

20134200400 is a wasteful number, since it uses less digits than its factorization.

20134200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20134200400 its reverse (400243102), we get a palindrome (20534443502).

The spelling of 20134200400 in words is "twenty billion, one hundred thirty-four million, two hundred thousand, four hundred".