214010411201400 has 384 divisors, whose sum is σ = 728997794726400. Its totient is φ = 51505152000000.

The previous prime is 214010411201381. The next prime is 214010411201401. The reversal of 214010411201400 is 4102114010412.

It is a super-3 number, since 3×214010411201400³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214010411201401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1595489536 + ... + 1595623664.

It is an arithmetic number, because the mean of its divisors is an integer number (1898431757100).

Almost surely, 2^{214010411201400} is an apocalyptic number.

214010411201400 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 214010411201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364498897363200).

214010411201400 is an abundant number, since it is smaller than the sum of its proper divisors (514987383525000).

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

214010411201400 is a wasteful number, since it uses less digits than its factorization.

214010411201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135911 (or 135902 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 214010411201400 its reverse (4102114010412), we get a palindrome (218112525211812).

The spelling of 214010411201400 in words is "two hundred fourteen trillion, ten billion, four hundred eleven million, two hundred one thousand, four hundred".