201310402640 has 40 divisors (see below), whose sum is σ = 468484721160. Its totient is φ = 80448800256.

The previous prime is 201310402619. The next prime is 201310402673. The reversal of 201310402640 is 46204013102.

201310402640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 63137617984 + 138172784656 = 251272^2 + 371716^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×201310402640² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1091459 + ... + 1262498.

It is an arithmetic number, because the mean of its divisors is an integer number (11712118029).

Almost surely, 2^201310402640 is an apocalyptic number.

201310402640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201310402640 is an abundant number, since it is smaller than the sum of its proper divisors (267174318520).

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

201310402640 is a wasteful number, since it uses less digits than its factorization.

201310402640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355039 (or 2355033 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 201310402640 its reverse (46204013102), we get a palindrome (247514415742).

The spelling of 201310402640 in words is "two hundred one billion, three hundred ten million, four hundred two thousand, six hundred forty".