214413322241400 has 384 divisors, whose sum is σ = 690219523123200. Its totient is φ = 55019703398400.

The previous prime is 214413322241387. The next prime is 214413322241603. The reversal of 214413322241400 is 4142223314412.

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 95 ways as a sum of consecutive naturals, for example, 1910306082 + ... + 1910418318.

It is an arithmetic number, because the mean of its divisors is an integer number (1797446674800).

Almost surely, 2^{214413322241400} is an apocalyptic number.

214413322241400 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 214413322241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345109761561600).

214413322241400 is an abundant number, since it is smaller than the sum of its proper divisors (475806200881800).

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

214413322241400 is a wasteful number, since it uses less digits than its factorization.

214413322241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113359 (or 113350 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 214413322241400 its reverse (4142223314412), we get a palindrome (218555545555812).

The spelling of 214413322241400 in words is "two hundred fourteen trillion, four hundred thirteen billion, three hundred twenty-two million, two hundred forty-one thousand, four hundred".