42201342000 has 120 divisors (see below), whose sum is σ = 147395283360. Its totient is φ = 11253686400.

The previous prime is 42201341927. The next prime is 42201342031. The reversal of 42201342000 is 24310224.

42201342000 is a `hidden beast` number, since 42 + 201 + 3 + 420 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×42201342000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1154260 + ... + 1190259.

It is an arithmetic number, because the mean of its divisors is an integer number (1228294028).

Almost surely, 2^42201342000 is an apocalyptic number.

42201342000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42201342000 is an abundant number, since it is smaller than the sum of its proper divisors (105193941360).

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

42201342000 is a wasteful number, since it uses less digits than its factorization.

42201342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344548 (or 2344529 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42201342000 its reverse (24310224), we get a palindrome (42225652224).

The spelling of 42201342000 in words is "forty-two billion, two hundred one million, three hundred forty-two thousand".