210142201211040 has 192 divisors, whose sum is σ = 756602333915904. Its totient is φ = 48026762846208.

The previous prime is 210142201211021. The next prime is 210142201211051. The reversal of 210142201211040 is 40112102241012.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 210142201210998 and 210142201211016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24413742 + ... + 31879698.

It is an arithmetic number, because the mean of its divisors is an integer number (3940637155812).

Almost surely, 2^{210142201211040} is an apocalyptic number.

210142201211040 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 210142201211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378301166957952).

210142201211040 is an abundant number, since it is smaller than the sum of its proper divisors (546460132704864).

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

210142201211040 is a wasteful number, since it uses less digits than its factorization.

210142201211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7474359 (or 7474351 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 210142201211040 its reverse (40112102241012), we get a palindrome (250254303452052).

The spelling of 210142201211040 in words is "two hundred ten trillion, one hundred forty-two billion, two hundred one million, two hundred eleven thousand, forty".