16799242240 has 384 divisors, whose sum is σ = 48231106560. Its totient is φ = 5544345600.

The previous prime is 16799242219. The next prime is 16799242261. The reversal of 16799242240 is 4224299761.

It is an interprime number because it is at equal distance from previous prime (16799242219) and next prime (16799242261).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59361139 + ... + 59361421.

It is an arithmetic number, because the mean of its divisors is an integer number (125601840).

Almost surely, 2^16799242240 is an apocalyptic number.

16799242240 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 16799242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24115553280).

16799242240 is an abundant number, since it is smaller than the sum of its proper divisors (31431864320).

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

16799242240 is a wasteful number, since it uses less digits than its factorization.

16799242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 16799242240 in words is "sixteen billion, seven hundred ninety-nine million, two hundred forty-two thousand, two hundred forty".