4642242040200 has 96 divisors (see below), whose sum is σ = 14446946720160. Its totient is φ = 1233114316800.

The previous prime is 4642242040193. The next prime is 4642242040201. The reversal of 4642242040200 is 20402422464.

It is a super-2 number, since 2×4642242040200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4642242040201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14898466 + ... + 15206865.

It is an arithmetic number, because the mean of its divisors is an integer number (150489028335).

Almost surely, 2^{4642242040200} is an apocalyptic number.

4642242040200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4642242040200 is an abundant number, since it is smaller than the sum of its proper divisors (9804704679960).

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

4642242040200 is a wasteful number, since it uses less digits than its factorization.

4642242040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30105607 (or 30105598 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 4642242040200 its reverse (20402422464), we get a palindrome (4662644462664).

The spelling of 4642242040200 in words is "four trillion, six hundred forty-two billion, two hundred forty-two million, forty thousand, two hundred".