16801822440 has 256 divisors, whose sum is σ = 60873120000. Its totient is φ = 4097516544.

The previous prime is 16801822421. The next prime is 16801822447. The reversal of 16801822440 is 4422810861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16801822395 and 16801822404.

It is not an unprimeable number, because it can be changed into a prime (16801822447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1524871 + ... + 1535849.

It is an arithmetic number, because the mean of its divisors is an integer number (237785625).

Almost surely, 2^16801822440 is an apocalyptic number.

16801822440 is a gapful number since it is divisible by the number (10) 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 16801822440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30436560000).

16801822440 is an abundant number, since it is smaller than the sum of its proper divisors (44071297560).

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

16801822440 is a wasteful number, since it uses less digits than its factorization.

16801822440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11121 (or 11111 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 16801822440 in words is "sixteen billion, eight hundred one million, eight hundred twenty-two thousand, four hundred forty".