210342312101040 has 120 divisors (see below), whose sum is σ = 758520133680240. Its totient is φ = 48078242763264.

The previous prime is 210342312101017. The next prime is 210342312101081. The reversal of 210342312101040 is 40101213243012.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×210342312101040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 210342312101040.

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 23 ways as a sum of consecutive naturals, for example, 8943113755 + ... + 8943137274.

It is an arithmetic number, because the mean of its divisors is an integer number (6321001114002).

Almost surely, 2^{210342312101040} is an apocalyptic number.

210342312101040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210342312101040 is an abundant number, since it is smaller than the sum of its proper divisors (548177821579200).

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

210342312101040 is a wasteful number, since it uses less digits than its factorization.

210342312101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17886251059 (or 17886251046 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 210342312101040 its reverse (40101213243012), we get a palindrome (250443525344052).

The spelling of 210342312101040 in words is "two hundred ten trillion, three hundred forty-two billion, three hundred twelve million, one hundred one thousand, forty".