214130412033000 has 256 divisors, whose sum is σ = 678476121523200. Its totient is φ = 56214524678400.

The previous prime is 214130412032983. The next prime is 214130412033049. The reversal of 214130412033000 is 330214031412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326699611 + ... + 327354389.

It is an arithmetic number, because the mean of its divisors is an integer number (2650297349700).

Almost surely, 2^{214130412033000} is an apocalyptic number.

214130412033000 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 214130412033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339238060761600).

214130412033000 is an abundant number, since it is smaller than the sum of its proper divisors (464345709490200).

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

214130412033000 is a wasteful number, since it uses less digits than its factorization.

214130412033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656497 (or 656483 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 214130412033000 its reverse (330214031412), we get a palindrome (214460626064412).

The spelling of 214130412033000 in words is "two hundred fourteen trillion, one hundred thirty billion, four hundred twelve million, thirty-three thousand".