42998256000 has 1024 divisors, whose sum is σ = 184833792000. Its totient is φ = 9621504000.

The previous prime is 42998255983. The next prime is 42998256053. The reversal of 42998256000 is 65289924.

42998256000 is a `hidden beast` number, since 4 + 2 + 9 + 9 + 82 + 560 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 178415880 + ... + 178416120.

It is an arithmetic number, because the mean of its divisors is an integer number (180501750).

Almost surely, 2^42998256000 is an apocalyptic number.

42998256000 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 42998256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92416896000).

42998256000 is an abundant number, since it is smaller than the sum of its proper divisors (141835536000).

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

42998256000 is a wasteful number, since it uses less digits than its factorization.

42998256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 42998256000 in words is "forty-two billion, nine hundred ninety-eight million, two hundred fifty-six thousand".