216409801440 has 1152 divisors, whose sum is σ = 882981969408. Its totient is φ = 44219105280.

The previous prime is 216409801429. The next prime is 216409801451. The reversal of 216409801440 is 44108904612.

It is an interprime number because it is at equal distance from previous prime (216409801429) and next prime (216409801451).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 704917767 + ... + 704918073.

It is an arithmetic number, because the mean of its divisors is an integer number (766477404).

Almost surely, 2^216409801440 is an apocalyptic number.

216409801440 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 216409801440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441490984704).

216409801440 is an abundant number, since it is smaller than the sum of its proper divisors (666572167968).

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

216409801440 is a wasteful number, since it uses less digits than its factorization.

216409801440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 216409801440 in words is "two hundred sixteen billion, four hundred nine million, eight hundred one thousand, four hundred forty".