4070859827328 has 1536 divisors, whose sum is σ = 15287740416000. Its totient is φ = 1012644052992.

The previous prime is 4070859827327. The next prime is 4070859827339. The reversal of 4070859827328 is 8237289580704.

4070859827328 is a `hidden beast` number, since 4 + 0 + 7 + 0 + 8 + 598 + 2 + 7 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4070859827323) 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 191 ways as a sum of consecutive naturals, for example, 14696244726 + ... + 14696245002.

It is an arithmetic number, because the mean of its divisors is an integer number (9952956000).

Almost surely, 2^{4070859827328} is an apocalyptic number.

4070859827328 is a gapful number since it is divisible by the number (48) 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 4070859827328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7643870208000).

4070859827328 is an abundant number, since it is smaller than the sum of its proper divisors (11216880588672).

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

4070859827328 is a wasteful number, since it uses less digits than its factorization.

4070859827328 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 54190080, while the sum is 63.

The spelling of 4070859827328 in words is "four trillion, seventy billion, eight hundred fifty-nine million, eight hundred twenty-seven thousand, three hundred twenty-eight".