42810969600 has 360 divisors, whose sum is σ = 175098889680. Its totient is φ = 9785180160.

The previous prime is 42810969581. The next prime is 42810969629. The reversal of 42810969600 is 696901824.

It is a happy number.

42810969600 is a `hidden beast` number, since 4 + 28 + 10 + 9 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 779856 + ... + 832944.

Almost surely, 2^42810969600 is an apocalyptic number.

42810969600 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 42810969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87549444840).

42810969600 is an abundant number, since it is smaller than the sum of its proper divisors (132287920080).

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

42810969600 is a wasteful number, since it uses less digits than its factorization.

42810969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53130 (or 53106 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 42810969600 in words is "forty-two billion, eight hundred ten million, nine hundred sixty-nine thousand, six hundred".