214766140440 has 128 divisors (see below), whose sum is σ = 672545203200. Its totient is φ = 54761879040.

The previous prime is 214766140429. The next prime is 214766140441. The reversal of 214766140440 is 44041667412.

It is a super-2 number, since 2×214766140440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214766140441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9016066 + ... + 9039854.

It is an arithmetic number, because the mean of its divisors is an integer number (5254259400).

Almost surely, 2^214766140440 is an apocalyptic number.

214766140440 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 214766140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336272601600).

214766140440 is an abundant number, since it is smaller than the sum of its proper divisors (457779062760).

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

214766140440 is a wasteful number, since it uses less digits than its factorization.

214766140440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27097 (or 27093 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 214766140440 in words is "two hundred fourteen billion, seven hundred sixty-six million, one hundred forty thousand, four hundred forty".