42201000244200 has 192 divisors, whose sum is σ = 150067926288000. Its totient is φ = 9610084131840.

The previous prime is 42201000244189. The next prime is 42201000244243. The reversal of 42201000244200 is 244200010224.

It is a super-2 number, since 2×42201000244200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17546515 + ... + 19806114.

It is an arithmetic number, because the mean of its divisors is an integer number (781603782750).

Almost surely, 2^{42201000244200} is an apocalyptic number.

42201000244200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42201000244200 is an abundant number, since it is smaller than the sum of its proper divisors (107866926043800).

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

42201000244200 is a wasteful number, since it uses less digits than its factorization.

42201000244200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37352924 (or 37352915 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 42201000244200 its reverse (244200010224), we get a palindrome (42445200254424).

The spelling of 42201000244200 in words is "forty-two trillion, two hundred one billion, two hundred forty-four thousand, two hundred".