214033400340 has 96 divisors (see below), whose sum is σ = 635573070720. Its totient is φ = 53631246336.

The previous prime is 214033400267. The next prime is 214033400387. The reversal of 214033400340 is 43004330412.

It is a super-2 number, since 2×214033400340² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214033400340.

It is a congruent number.

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, 461884 + ... + 800876.

It is an arithmetic number, because the mean of its divisors is an integer number (6620552820).

Almost surely, 2^214033400340 is an apocalyptic number.

214033400340 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 214033400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317786535360).

214033400340 is an abundant number, since it is smaller than the sum of its proper divisors (421539670380).

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

214033400340 is a wasteful number, since it uses less digits than its factorization.

214033400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339641 (or 339639 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 214033400340 its reverse (43004330412), we get a palindrome (257037730752).

The spelling of 214033400340 in words is "two hundred fourteen billion, thirty-three million, four hundred thousand, three hundred forty".