202042024000 has 112 divisors (see below), whose sum is σ = 501059744640. Its totient is φ = 80703321600.

The previous prime is 202042023977. The next prime is 202042024001. The reversal of 202042024000 is 420240202.

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

It is not an unprimeable number, because it can be changed into a prime (202042024001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5798631 + ... + 5833369.

It is an arithmetic number, because the mean of its divisors is an integer number (4473747720).

Almost surely, 2^202042024000 is an apocalyptic number.

202042024000 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 202042024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250529872320).

202042024000 is an abundant number, since it is smaller than the sum of its proper divisors (299017720640).

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

202042024000 is an equidigital number, since it uses as much as digits as its factorization.

202042024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35493 (or 35473 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 202042024000 its reverse (420240202), we get a palindrome (202462264202).

The spelling of 202042024000 in words is "two hundred two billion, forty-two million, twenty-four thousand".