216440040505100 has 72 divisors (see below), whose sum is σ = 490156001008128. Its totient is φ = 82801624628800.

The previous prime is 216440040505063. The next prime is 216440040505127. The reversal of 216440040505100 is 1505040044612.

It is a super-2 number, since 2×216440040505100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12854267 + ... + 24456333.

It is an arithmetic number, because the mean of its divisors is an integer number (6807722236224).

Almost surely, 2^{216440040505100} is an apocalyptic number.

216440040505100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216440040505100 is an abundant number, since it is smaller than the sum of its proper divisors (273715960503028).

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

216440040505100 is a wasteful number, since it uses less digits than its factorization.

216440040505100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11610215 (or 11610208 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 216440040505100 its reverse (1505040044612), we get a palindrome (217945080549712).

The spelling of 216440040505100 in words is "two hundred sixteen trillion, four hundred forty billion, forty million, five hundred five thousand, one hundred".