214005032640 has 560 divisors, whose sum is σ = 871826706432. Its totient is φ = 48813041664.

The previous prime is 214005032617. The next prime is 214005032641. The reversal of 214005032640 is 46230500412.

214005032640 is a `hidden beast` number, since 2 + 14 + 0 + 0 + 5 + 0 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (214005032641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 117390769 + ... + 117392591.

Almost surely, 2^214005032640 is an apocalyptic number.

214005032640 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 214005032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435913353216).

214005032640 is an abundant number, since it is smaller than the sum of its proper divisors (657821673792).

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

214005032640 is a wasteful number, since it uses less digits than its factorization.

214005032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 214005032640 in words is "two hundred fourteen billion, five million, thirty-two thousand, six hundred forty".