4285734829056 has 528 divisors, whose sum is σ = 13254855647904. Its totient is φ = 1329057497088.

The previous prime is 4285734829049. The next prime is 4285734829087. The reversal of 4285734829056 is 6509284375824.

4285734829056 is a `hidden beast` number, since 4 + 2 + 8 + 573 + 4 + 8 + 2 + 9 + 0 + 56 = 666.

It is a super-2 number, since 2×4285734829056² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4285734828984 and 4285734829002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6563146426 + ... + 6563147078.

Almost surely, 2^{4285734829056} 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 4285734829056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6627427823952).

4285734829056 is an abundant number, since it is smaller than the sum of its proper divisors (8969120818848).

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

4285734829056 is a wasteful number, since it uses less digits than its factorization.

4285734829056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 4285734829056 in words is "four trillion, two hundred eighty-five billion, seven hundred thirty-four million, eight hundred twenty-nine thousand, fifty-six".