20133434400 has 144 divisors (see below), whose sum is σ = 66364502400. Its totient is φ = 5300904960.

The previous prime is 20133434393. The next prime is 20133434423. The reversal of 20133434400 is 443433102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136506 + ... + 242694.

It is an arithmetic number, because the mean of its divisors is an integer number (460864600).

Almost surely, 2^20133434400 is an apocalyptic number.

20133434400 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 20133434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33182251200).

20133434400 is an abundant number, since it is smaller than the sum of its proper divisors (46231068000).

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

20133434400 is a wasteful number, since it uses less digits than its factorization.

20133434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106291 (or 106278 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20133434400 its reverse (443433102), we get a palindrome (20576867502).

The spelling of 20133434400 in words is "twenty billion, one hundred thirty-three million, four hundred thirty-four thousand, four hundred".