16541256240 has 400 divisors, whose sum is σ = 58886498880. Its totient is φ = 4302305280.

The previous prime is 16541256239. The next prime is 16541256247. The reversal of 16541256240 is 4265214561.

16541256240 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 1 + 25 + 624 + 0 = 666.

It is a super-2 number, since 2×16541256240² (a number of 21 digits) contains 22 as substring.

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 = 16541256195 and 16541256204.

It is not an unprimeable number, because it can be changed into a prime (16541256247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72232446 + ... + 72232674.

Almost surely, 2^16541256240 is an apocalyptic number.

16541256240 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 16541256240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29443249440).

16541256240 is an abundant number, since it is smaller than the sum of its proper divisors (42345242640).

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

16541256240 is a wasteful number, since it uses less digits than its factorization.

16541256240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 16541256240 in words is "sixteen billion, five hundred forty-one million, two hundred fifty-six thousand, two hundred forty".