20041516368 has 280 divisors, whose sum is σ = 61542370560. Its totient is φ = 6309757440.

The previous prime is 20041516367. The next prime is 20041516403. The reversal of 20041516368 is 86361514002.

It is a happy number.

20041516368 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 15 + 1 + 636 + 8 = 666.

It is a super-2 number, since 2×20041516368² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20041516361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15547468 + ... + 15548756.

Almost surely, 2^20041516368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20041516368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30771185280).

20041516368 is an abundant number, since it is smaller than the sum of its proper divisors (41500854192).

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

20041516368 is a wasteful number, since it uses less digits than its factorization.

20041516368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 20041516368 in words is "twenty billion, forty-one million, five hundred sixteen thousand, three hundred sixty-eight".