42115350200200 has 24 divisors (see below), whose sum is σ = 97918189215930. Its totient is φ = 16846140080000.

The previous prime is 42115350200197. The next prime is 42115350200227. The reversal of 42115350200200 is 200205351124.

It can be written as a sum of positive squares in 3 ways, for example, as 28443000907204 + 13672349292996 = 5333198^2 + 3697614^2 .

It is a super-3 number, since 3×42115350200200³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105288375301 + ... + 105288375700.

Almost surely, 2^{42115350200200} is an apocalyptic number.

42115350200200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42115350200200 is an abundant number, since it is smaller than the sum of its proper divisors (55802839015730).

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

42115350200200 is a wasteful number, since it uses less digits than its factorization.

42115350200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210576751017 (or 210576751008 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 42115350200200 its reverse (200205351124), we get a palindrome (42315555551324).

The spelling of 42115350200200 in words is "forty-two trillion, one hundred fifteen billion, three hundred fifty million, two hundred thousand, two hundred".