214053041328 has 320 divisors, whose sum is σ = 652818216960. Its totient is φ = 59183308800.

The previous prime is 214053041303. The next prime is 214053041329. The reversal of 214053041328 is 823140350412.

It is not an unprimeable number, because it can be changed into a prime (214053041329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 384296026 + ... + 384296582.

It is an arithmetic number, because the mean of its divisors is an integer number (2040056928).

Almost surely, 2^214053041328 is an apocalyptic number.

214053041328 is a gapful number since it is divisible by the number (28) 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 214053041328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326409108480).

214053041328 is an abundant number, since it is smaller than the sum of its proper divisors (438765175632).

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

214053041328 is a wasteful number, since it uses less digits than its factorization.

214053041328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 214053041328 in words is "two hundred fourteen billion, fifty-three million, forty-one thousand, three hundred twenty-eight".