4070829285864 has 256 divisors, whose sum is σ = 12477325536000. Its totient is φ = 1219493560320.

The previous prime is 4070829285863. The next prime is 4070829285883. The reversal of 4070829285864 is 4685829280704.

4070829285864 is a `hidden beast` number, since 4 + 0 + 7 + 0 + 8 + 29 + 28 + 586 + 4 = 666.

4070829285864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4070829285864³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4070829285863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104422344 + ... + 104461320.

It is an arithmetic number, because the mean of its divisors is an integer number (48739552875).

Almost surely, 2^{4070829285864} is an apocalyptic number.

4070829285864 is a gapful number since it is divisible by the number (44) 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 4070829285864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6238662768000).

4070829285864 is an abundant number, since it is smaller than the sum of its proper divisors (8406496250136).

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

4070829285864 is a wasteful number, since it uses less digits than its factorization.

4070829285864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39505 (or 39495 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 4070829285864 in words is "four trillion, seventy billion, eight hundred twenty-nine million, two hundred eighty-five thousand, eight hundred sixty-four".