214016800140 has 576 divisors, whose sum is σ = 792034588800. Its totient is φ = 46061568000.

The previous prime is 214016800103. The next prime is 214016800181. The reversal of 214016800140 is 41008610412.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 305301790 + ... + 305302490.

It is an arithmetic number, because the mean of its divisors is an integer number (1375060050).

Almost surely, 2^214016800140 is an apocalyptic number.

214016800140 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 214016800140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396017294400).

214016800140 is an abundant number, since it is smaller than the sum of its proper divisors (578017788660).

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

214016800140 is a wasteful number, since it uses less digits than its factorization.

214016800140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 214016800140 in words is "two hundred fourteen billion, sixteen million, eight hundred thousand, one hundred forty".