42998828256 has 576 divisors, whose sum is σ = 141296762880. Its totient is φ = 12330869760.

The previous prime is 42998828251. The next prime is 42998828281. The reversal of 42998828256 is 65282889924.

42998828256 is a `hidden beast` number, since 429 + 9 + 8 + 82 + 82 + 56 = 666.

Its product of digits (39813120) is a multiple of the sum of its prime divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 42998828193 and 42998828202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42998828251) 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, 401858155 + ... + 401858261.

It is an arithmetic number, because the mean of its divisors is an integer number (245306880).

Almost surely, 2^42998828256 is an apocalyptic number.

42998828256 is a gapful number since it is divisible by the number (46) 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 42998828256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70648381440).

42998828256 is an abundant number, since it is smaller than the sum of its proper divisors (98297934624).

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

42998828256 is a wasteful number, since it uses less digits than its factorization.

42998828256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 42998828256 in words is "forty-two billion, nine hundred ninety-eight million, eight hundred twenty-eight thousand, two hundred fifty-six".