4047540561792 has 768 divisors, whose sum is σ = 15041980800000. Its totient is φ = 1062004027392.

The previous prime is 4047540561791. The next prime is 4047540561817. The reversal of 4047540561792 is 2971650457404.

4047540561792 is a `hidden beast` number, since 4 + 0 + 4 + 7 + 5 + 4 + 0 + 561 + 79 + 2 = 666.

4047540561792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4047540561791) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 438088309 + ... + 438097547.

It is an arithmetic number, because the mean of its divisors is an integer number (19585912500).

Almost surely, 2^{4047540561792} is an apocalyptic number.

4047540561792 is a gapful number since it is divisible by the number (42) 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 4047540561792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7520990400000).

4047540561792 is an abundant number, since it is smaller than the sum of its proper divisors (10994440238208).

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

4047540561792 is a wasteful number, since it uses less digits than its factorization.

4047540561792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9488 (or 9463 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 4047540561792 in words is "four trillion, forty-seven billion, five hundred forty million, five hundred sixty-one thousand, seven hundred ninety-two".