20133210400 has 144 divisors (see below), whose sum is σ = 51352213248. Its totient is φ = 7698816000.

The previous prime is 20133210397. The next prime is 20133210463. The reversal of 20133210400 is 401233102.

It is a happy number.

It is a super-3 number, since 3×20133210400³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 2053510 + ... + 2063290.

It is an arithmetic number, because the mean of its divisors is an integer number (356612592).

Almost surely, 2^20133210400 is an apocalyptic number.

20133210400 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 20133210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25676106624).

20133210400 is an abundant number, since it is smaller than the sum of its proper divisors (31219002848).

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

20133210400 is a wasteful number, since it uses less digits than its factorization.

20133210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9915 (or 9902 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20133210400 its reverse (401233102), we get a palindrome (20534443502).

The spelling of 20133210400 in words is "twenty billion, one hundred thirty-three million, two hundred ten thousand, four hundred".