210401151440 has 80 divisors (see below), whose sum is σ = 518044410000. Its totient is φ = 79196651520.

The previous prime is 210401151403. The next prime is 210401151497. The reversal of 210401151440 is 44151104012.

210401151440 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 8 ways, for example, as 1921244224 + 208479907216 = 43832^2 + 456596^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 12940436 + ... + 12956684.

It is an arithmetic number, because the mean of its divisors is an integer number (6475555125).

Almost surely, 2^210401151440 is an apocalyptic number.

210401151440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210401151440 is an abundant number, since it is smaller than the sum of its proper divisors (307643258560).

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

210401151440 is a wasteful number, since it uses less digits than its factorization.

210401151440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25800 (or 25794 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 210401151440 its reverse (44151104012), we get a palindrome (254552255452).

The spelling of 210401151440 in words is "two hundred ten billion, four hundred one million, one hundred fifty-one thousand, four hundred forty".