16447242240 has 816 divisors, whose sum is σ = 69079659840. Its totient is φ = 3680501760.

The previous prime is 16447242239. The next prime is 16447242241. The reversal of 16447242240 is 4224274461.

16447242240 is a `hidden beast` number, since 1 + 644 + 7 + 2 + 4 + 2 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16447242239) and next prime (16447242241).

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 = 16447242195 and 16447242204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16447242241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1265172474 + ... + 1265172486.

Almost surely, 2^16447242240 is an apocalyptic number.

16447242240 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 16447242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34539829920).

16447242240 is an abundant number, since it is smaller than the sum of its proper divisors (52632417600).

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

16447242240 is an equidigital number, since it uses as much as digits as its factorization.

16447242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 16447242240 in words is "sixteen billion, four hundred forty-seven million, two hundred forty-two thousand, two hundred forty".