210691031040 has 972 divisors, whose sum is σ = 882274247946. Its totient is φ = 48157949952.

The previous prime is 210691031029. The next prime is 210691031041. The reversal of 210691031040 is 40130196012.

It can be written as a sum of positive squares in only one way, i.e., 189621927936 + 21069103104 = 435456^2 + 145152^2 .

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 210691030995 and 210691031013.

It is not an unprimeable number, because it can be changed into a prime (210691031041) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 30098718717 + ... + 30098718723.

Almost surely, 2^210691031040 is an apocalyptic number.

210691031040 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 210691031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441137123973).

210691031040 is an abundant number, since it is smaller than the sum of its proper divisors (671583216906).

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

210691031040 is an frugal number, since it uses more digits than its factorization.

210691031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 210691031040 in words is "two hundred ten billion, six hundred ninety-one million, thirty-one thousand, forty".