217154040400 has 120 divisors (see below), whose sum is σ = 569518798464. Its totient is φ = 78912691200.

The previous prime is 217154040373. The next prime is 217154040401. The reversal of 217154040400 is 4040451712.

217154040400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217154040401) 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, 6949612 + ... + 6980788.

Almost surely, 2^217154040400 is an apocalyptic number.

217154040400 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 217154040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284759399232).

217154040400 is an abundant number, since it is smaller than the sum of its proper divisors (352364758064).

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

217154040400 is a wasteful number, since it uses less digits than its factorization.

217154040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32789 (or 32778 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The spelling of 217154040400 in words is "two hundred seventeen billion, one hundred fifty-four million, forty thousand, four hundred".