214010343313400 has 96 divisors (see below), whose sum is σ = 497922679837440. Its totient is φ = 85544177765760.

The previous prime is 214010343313381. The next prime is 214010343313409. The reversal of 214010343313400 is 4313343010412.

It is a happy number.

It is a super-4 number, since 4×214010343313400⁴ (a number of 58 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214010343313409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1794320567 + ... + 1794439833.

It is an arithmetic number, because the mean of its divisors is an integer number (5186694581640).

Almost surely, 2^{214010343313400} is an apocalyptic number.

214010343313400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214010343313400 is an abundant number, since it is smaller than the sum of its proper divisors (283912336524040).

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

214010343313400 is a wasteful number, since it uses less digits than its factorization.

214010343313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125493 (or 125484 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 214010343313400 its reverse (4313343010412), we get a palindrome (218323686323812).

The spelling of 214010343313400 in words is "two hundred fourteen trillion, ten billion, three hundred forty-three million, three hundred thirteen thousand, four hundred".