210035042400 has 144 divisors (see below), whose sum is σ = 683815233024. Its totient is φ = 55996961280.

The previous prime is 210035042387. The next prime is 210035042411. The reversal of 210035042400 is 4240530012.

It is a super-2 number, since 2×210035042400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 17290729 + ... + 17302871.

It is an arithmetic number, because the mean of its divisors is an integer number (4748716896).

Almost surely, 2^210035042400 is an apocalyptic number.

210035042400 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 210035042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341907616512).

210035042400 is an abundant number, since it is smaller than the sum of its proper divisors (473780190624).

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

210035042400 is a wasteful number, since it uses less digits than its factorization.

210035042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19373 (or 19360 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 210035042400 its reverse (4240530012), we get a palindrome (214275572412).

The spelling of 210035042400 in words is "two hundred ten billion, thirty-five million, forty-two thousand, four hundred".