210033120400 has 120 divisors (see below), whose sum is σ = 527436777600. Its totient is φ = 80224235520.

The previous prime is 210033120391. The next prime is 210033120433. The reversal of 210033120400 is 4021330012.

It is a happy number.

It is a super-2 number, since 2×210033120400² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5491744 + ... + 5529856.

It is an arithmetic number, because the mean of its divisors is an integer number (4395306480).

Almost surely, 2^210033120400 is an apocalyptic number.

210033120400 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 210033120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263718388800).

210033120400 is an abundant number, since it is smaller than the sum of its proper divisors (317403657200).

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

210033120400 is a wasteful number, since it uses less digits than its factorization.

210033120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38753 (or 38742 counting only the distinct ones).

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

Adding to 210033120400 its reverse (4021330012), we get a palindrome (214054450412).

The spelling of 210033120400 in words is "two hundred ten billion, thirty-three million, one hundred twenty thousand, four hundred".