42011523200 has 192 divisors, whose sum is σ = 109677132000. Its totient is φ = 15857049600.

The previous prime is 42011523179. The next prime is 42011523217. The reversal of 42011523200 is 232511024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17083571 + ... + 17086029.

Almost surely, 2^42011523200 is an apocalyptic number.

42011523200 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 42011523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54838566000).

42011523200 is an abundant number, since it is smaller than the sum of its proper divisors (67665608800).

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

42011523200 is a wasteful number, since it uses less digits than its factorization.

42011523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 42011523200 in words is "forty-two billion, eleven million, five hundred twenty-three thousand, two hundred".