213512220401440 has 48 divisors (see below), whose sum is σ = 504438883683840. Its totient is φ = 85402134639360.

The previous prime is 213512220401423. The next prime is 213512220401489. The reversal of 213512220401440 is 44104022215312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16530126 + ... + 26462605.

It is an arithmetic number, because the mean of its divisors is an integer number (10509143410080).

Almost surely, 2^{213512220401440} is an apocalyptic number.

213512220401440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213512220401440 is an abundant number, since it is smaller than the sum of its proper divisors (290926663282400).

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

213512220401440 is a wasteful number, since it uses less digits than its factorization.

213512220401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43023785 (or 43023777 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 213512220401440 its reverse (44104022215312), we get a palindrome (257616242616752).

The spelling of 213512220401440 in words is "two hundred thirteen trillion, five hundred twelve billion, two hundred twenty million, four hundred one thousand, four hundred forty".