210000042504 has 512 divisors, whose sum is σ = 728870400000. Its totient is φ = 54661920768.

The previous prime is 210000042491. The next prime is 210000042521. The reversal of 210000042504 is 405240000012.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 127 ways as a sum of consecutive naturals, for example, 369068332 + ... + 369068900.

It is an arithmetic number, because the mean of its divisors is an integer number (1423575000).

Almost surely, 2^210000042504 is an apocalyptic number.

210000042504 is a gapful number since it is divisible by the number (24) 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 210000042504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364435200000).

210000042504 is an abundant number, since it is smaller than the sum of its proper divisors (518870357496).

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

210000042504 is a wasteful number, since it uses less digits than its factorization.

210000042504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 210000042504 its reverse (405240000012), we get a palindrome (615240042516).

The spelling of 210000042504 in words is "two hundred ten billion, forty-two thousand, five hundred four".