214010401 has 24 divisors (see below), whose sum is σ = 247060800. Its totient is φ = 184984800.

The previous prime is 214010383. The next prime is 214010429. The reversal of 214010401 is 104010412.

It is not a de Polignac number, because 214010401 - 2⁵ = 214010369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214010801) 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, 248710 + ... + 249568.

It is an arithmetic number, because the mean of its divisors is an integer number (10294200).

Almost surely, 2^214010401 is an apocalyptic number.

It is an amenable number.

214010401 is a deficient number, since it is larger than the sum of its proper divisors (33050399).

214010401 is a wasteful number, since it uses less digits than its factorization.

214010401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 214010401 is about 14629.0943328697. The cubic root of 214010401 is about 598.1520932810.

Adding to 214010401 its reverse (104010412), we get a palindrome (318020813).

The spelling of 214010401 in words is "two hundred fourteen million, ten thousand, four hundred one".