214212311432240 has 160 divisors (see below), whose sum is σ = 544022470333440. Its totient is φ = 77794784307200.

The previous prime is 214212311432233. The next prime is 214212311432263. The reversal of 214212311432240 is 42234113212412.

It is a super-2 number, since 2×214212311432240² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214212311432197 and 214212311432206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2161113401 + ... + 2161212519.

It is an arithmetic number, because the mean of its divisors is an integer number (3400140439584).

Almost surely, 2^{214212311432240} is an apocalyptic number.

214212311432240 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 214212311432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272011235166720).

214212311432240 is an abundant number, since it is smaller than the sum of its proper divisors (329810158901200).

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

214212311432240 is a wasteful number, since it uses less digits than its factorization.

214212311432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102291 (or 102285 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 214212311432240 its reverse (42234113212412), we get a palindrome (256446424644652).

The spelling of 214212311432240 in words is "two hundred fourteen trillion, two hundred twelve billion, three hundred eleven million, four hundred thirty-two thousand, two hundred forty".