216614437079040 has 2304 divisors, whose sum is σ = 1010636135308800. Its totient is φ = 41439618662400.

The previous prime is 216614437079011. The next prime is 216614437079041. The reversal of 216614437079040 is 40970734416612.

216614437079040 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 1 + 443 + 70 + 7 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is not an unprimeable number, because it can be changed into a prime (216614437079041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37731130570 + ... + 37731136310.

It is an arithmetic number, because the mean of its divisors is an integer number (438644155950).

Almost surely, 2^{216614437079040} is an apocalyptic number.

216614437079040 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 216614437079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505318067654400).

216614437079040 is an abundant number, since it is smaller than the sum of its proper divisors (794021698229760).

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

216614437079040 is a wasteful number, since it uses less digits than its factorization.

216614437079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6214 (or 6191 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 216614437079040 in words is "two hundred sixteen trillion, six hundred fourteen billion, four hundred thirty-seven million, seventy-nine thousand, forty".