214222351003440 has 480 divisors, whose sum is σ = 722532761354304. Its totient is φ = 52480657981440.

The previous prime is 214222351003433. The next prime is 214222351003471. The reversal of 214222351003440 is 44300153222412.

It is a happy number.

It is a super-3 number, since 3×214222351003440³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8290004920 + ... + 8290030760.

Almost surely, 2^{214222351003440} is an apocalyptic number.

214222351003440 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 214222351003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361266380677152).

214222351003440 is an abundant number, since it is smaller than the sum of its proper divisors (508310410350864).

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

214222351003440 is a wasteful number, since it uses less digits than its factorization.

214222351003440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26849 (or 26830 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 214222351003440 in words is "two hundred fourteen trillion, two hundred twenty-two billion, three hundred fifty-one million, three thousand, four hundred forty".