42074650800 has 960 divisors, whose sum is σ = 190396702720. Its totient is φ = 8584704000.

The previous prime is 42074650763. The next prime is 42074650811. The reversal of 42074650800 is 805647024.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30466110 + ... + 30467490.

Almost surely, 2^42074650800 is an apocalyptic number.

42074650800 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 42074650800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95198351360).

42074650800 is an abundant number, since it is smaller than the sum of its proper divisors (148322051920).

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

42074650800 is a wasteful number, since it uses less digits than its factorization.

42074650800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 42074650800 in words is "forty-two billion, seventy-four million, six hundred fifty thousand, eight hundred".