16241239440 has 120 divisors (see below), whose sum is σ = 55572748920. Its totient is φ = 4249270272.

The previous prime is 16241239439. The next prime is 16241239457. The reversal of 16241239440 is 4493214261.

16241239440 is a `hidden beast` number, since 1 + 624 + 1 + 23 + 9 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3904250256 + 12336989184 = 62484^2 + 111072^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 16241239395 and 16241239404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174645 + ... + 250964.

It is an arithmetic number, because the mean of its divisors is an integer number (463106241).

Almost surely, 2^16241239440 is an apocalyptic number.

16241239440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16241239440 is an abundant number, since it is smaller than the sum of its proper divisors (39331509480).

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

16241239440 is a wasteful number, since it uses less digits than its factorization.

16241239440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425681 (or 425672 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 16241239440 in words is "sixteen billion, two hundred forty-one million, two hundred thirty-nine thousand, four hundred forty".