4047256085040 has 960 divisors, whose sum is σ = 17094359462400. Its totient is φ = 875151599616.

The previous prime is 4047256085023. The next prime is 4047256085051. The reversal of 4047256085040 is 405806527404.

4047256085040 is a `hidden beast` number, since 4 + 0 + 4 + 7 + 2 + 560 + 85 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 2487556707 + ... + 2487558333.

It is an arithmetic number, because the mean of its divisors is an integer number (17806624440).

Almost surely, 2^{4047256085040} is an apocalyptic number.

4047256085040 is a gapful number since it is divisible by the number (40) 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 4047256085040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8547179731200).

4047256085040 is an abundant number, since it is smaller than the sum of its proper divisors (13047103377360).

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

4047256085040 is a wasteful number, since it uses less digits than its factorization.

4047256085040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 4047256085040 in words is "four trillion, forty-seven billion, two hundred fifty-six million, eighty-five thousand, forty".