214023043420032 has 256 divisors, whose sum is σ = 710599699929600. Its totient is φ = 55447491993600.

The previous prime is 214023043419973. The next prime is 214023043420103. The reversal of 214023043420032 is 230024340320412.

It is a super-2 number, since 2×214023043420032² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2198182 + ... + 20805722.

It is an arithmetic number, because the mean of its divisors is an integer number (2775780077850).

Almost surely, 2^{214023043420032} is an apocalyptic number.

214023043420032 is a gapful number since it is divisible by the number (22) 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 214023043420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355299849964800).

214023043420032 is an abundant number, since it is smaller than the sum of its proper divisors (496576656509568).

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

214023043420032 is a wasteful number, since it uses less digits than its factorization.

214023043420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18607965 (or 18607953 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 214023043420032 its reverse (230024340320412), we get a palindrome (444047383740444).

The spelling of 214023043420032 in words is "two hundred fourteen trillion, twenty-three billion, forty-three million, four hundred twenty thousand, thirty-two".