214421441014400 has 192 divisors, whose sum is σ = 556935920170200. Its totient is φ = 81453479116800.

The previous prime is 214421441014397. The next prime is 214421441014411. The reversal of 214421441014400 is 4410144124412.

It can be written as a sum of positive squares in 12 ways, for example, as 1399943308864 + 213021497705536 = 1183192^2 + 14595256^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13278347 + ... + 24599946.

Almost surely, 2^{214421441014400} is an apocalyptic number.

214421441014400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214421441014400 is an abundant number, since it is smaller than the sum of its proper divisors (342514479155800).

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

214421441014400 is a wasteful number, since it uses less digits than its factorization.

214421441014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37878407 (or 37878390 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 214421441014400 its reverse (4410144124412), we get a palindrome (218831585138812).

The spelling of 214421441014400 in words is "two hundred fourteen trillion, four hundred twenty-one billion, four hundred forty-one million, fourteen thousand, four hundred".