214400213124240 has 1280 divisors, whose sum is σ = 820166465986560. Its totient is φ = 45639026933760.

The previous prime is 214400213124157. The next prime is 214400213124263. The reversal of 214400213124240 is 42421312004412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 214400213124198 and 214400213124207.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7834247037 + ... + 7834274403.

It is an arithmetic number, because the mean of its divisors is an integer number (640755051552).

Almost surely, 2^{214400213124240} is an apocalyptic number.

214400213124240 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 214400213124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410083232993280).

214400213124240 is an abundant number, since it is smaller than the sum of its proper divisors (605766252862320).

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

214400213124240 is a wasteful number, since it uses less digits than its factorization.

214400213124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27592 (or 27586 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 214400213124240 its reverse (42421312004412), we get a palindrome (256821525128652).

The spelling of 214400213124240 in words is "two hundred fourteen trillion, four hundred billion, two hundred thirteen million, one hundred twenty-four thousand, two hundred forty".