217435734140 has 96 divisors (see below), whose sum is σ = 482702567424. Its totient is φ = 82143694080.

The previous prime is 217435734079. The next prime is 217435734143. The reversal of 217435734140 is 41437534712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217435734143) 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, 42573467 + ... + 42578573.

It is an arithmetic number, because the mean of its divisors is an integer number (5028151744).

Almost surely, 2^217435734140 is an apocalyptic number.

217435734140 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 217435734140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241351283712).

217435734140 is an abundant number, since it is smaller than the sum of its proper divisors (265266833284).

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

217435734140 is a wasteful number, since it uses less digits than its factorization.

217435734140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6787 (or 6785 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The spelling of 217435734140 in words is "two hundred seventeen billion, four hundred thirty-five million, seven hundred thirty-four thousand, one hundred forty".