216023521972440 has 1536 divisors, whose sum is σ = 859332528230400. Its totient is φ = 42973951426560.

The previous prime is 216023521972373. The next prime is 216023521972487. The reversal of 216023521972440 is 44279125320612.

It is a self number, because there is not a number n which added to its sum of digits gives 216023521972440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 55234854085 + ... + 55234857995.

It is an arithmetic number, because the mean of its divisors is an integer number (559461281400).

Almost surely, 2^{216023521972440} is an apocalyptic number.

216023521972440 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 216023521972440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429666264115200).

216023521972440 is an abundant number, since it is smaller than the sum of its proper divisors (643309006257960).

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

216023521972440 is a wasteful number, since it uses less digits than its factorization.

216023521972440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4417 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 216023521972440 in words is "two hundred sixteen trillion, twenty-three billion, five hundred twenty-one million, nine hundred seventy-two thousand, four hundred forty".