42074104800 has 1296 divisors, whose sum is σ = 180901077840. Its totient is φ = 8453652480.

The previous prime is 42074104783. The next prime is 42074104817. The reversal of 42074104800 is 840147024.

It is an interprime number because it is at equal distance from previous prime (42074104783) and next prime (42074104817).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 576357564 + ... + 576357636.

It is an arithmetic number, because the mean of its divisors is an integer number (139584165).

Almost surely, 2^42074104800 is an apocalyptic number.

42074104800 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 42074104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90450538920).

42074104800 is an abundant number, since it is smaller than the sum of its proper divisors (138826973040).

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

42074104800 is a wasteful number, since it uses less digits than its factorization.

42074104800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The spelling of 42074104800 in words is "forty-two billion, seventy-four million, one hundred four thousand, eight hundred".