42034281600 has 384 divisors, whose sum is σ = 147508058880. Its totient is φ = 10484121600.

The previous prime is 42034281589. The next prime is 42034281629. The reversal of 42034281600 is 618243024.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 29538489 + ... + 29539911.

It is an arithmetic number, because the mean of its divisors is an integer number (384135570).

Almost surely, 2^42034281600 is an apocalyptic number.

42034281600 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 42034281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73754029440).

42034281600 is an abundant number, since it is smaller than the sum of its proper divisors (105473777280).

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

42034281600 is a wasteful number, since it uses less digits than its factorization.

42034281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 42034281600 in words is "forty-two billion, thirty-four million, two hundred eighty-one thousand, six hundred".