214123222401440 has 192 divisors, whose sum is σ = 555586135050240. Its totient is φ = 77336545920000.

The previous prime is 214123222401391. The next prime is 214123222401449. The reversal of 214123222401440 is 44104222321412.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 214123222401397 and 214123222401406.

It is not an unprimeable number, because it can be changed into a prime (214123222401449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2043907781 + ... + 2044012539.

It is an arithmetic number, because the mean of its divisors is an integer number (2893677786720).

Almost surely, 2^{214123222401440} is an apocalyptic number.

214123222401440 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 214123222401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277793067525120).

214123222401440 is an abundant number, since it is smaller than the sum of its proper divisors (341462912648800).

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

214123222401440 is a wasteful number, since it uses less digits than its factorization.

214123222401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112627 (or 112619 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 214123222401440 its reverse (44104222321412), we get a palindrome (258227444722852).

The spelling of 214123222401440 in words is "two hundred fourteen trillion, one hundred twenty-three billion, two hundred twenty-two million, four hundred one thousand, four hundred forty".