42001141200 has 60 divisors (see below), whose sum is σ = 134543659488. Its totient is φ = 11200304000.

The previous prime is 42001141129. The next prime is 42001141243. The reversal of 42001141200 is 214110024.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42001141200.

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 11 ways as a sum of consecutive naturals, for example, 17499276 + ... + 17501675.

Almost surely, 2^42001141200 is an apocalyptic number.

42001141200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42001141200 is an abundant number, since it is smaller than the sum of its proper divisors (92542518288).

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

42001141200 is a wasteful number, since it uses less digits than its factorization.

42001141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35000972 (or 35000961 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 42001141200 its reverse (214110024), we get a palindrome (42215251224).

The spelling of 42001141200 in words is "forty-two billion, one million, one hundred forty-one thousand, two hundred".