216438743040 has 448 divisors, whose sum is σ = 751455968256. Its totient is φ = 52876541952.

The previous prime is 216438743023. The next prime is 216438743041. The reversal of 216438743040 is 40347834612.

It is a junction number, because it is equal to n+sod(n) for n = 216438742983 and 216438743001.

It is not an unprimeable number, because it can be changed into a prime (216438743041) 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, 250797649 + ... + 250798511.

It is an arithmetic number, because the mean of its divisors is an integer number (1677357072).

Almost surely, 2^216438743040 is an apocalyptic number.

216438743040 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 216438743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375727984128).

216438743040 is an abundant number, since it is smaller than the sum of its proper divisors (535017225216).

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

216438743040 is a wasteful number, since it uses less digits than its factorization.

216438743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 216438743040 in words is "two hundred sixteen billion, four hundred thirty-eight million, seven hundred forty-three thousand, forty".