4042402131300 has 288 divisors, whose sum is σ = 12718494547584. Its totient is φ = 985388544000.

The previous prime is 4042402131277. The next prime is 4042402131301. The reversal of 4042402131300 is 31312042404.

It is a super-2 number, since 2×4042402131300² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4042402131301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224931315 + ... + 224949285.

Almost surely, 2^{4042402131300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042402131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6359247273792).

4042402131300 is an abundant number, since it is smaller than the sum of its proper divisors (8676092416284).

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

4042402131300 is a wasteful number, since it uses less digits than its factorization.

4042402131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18559 (or 18552 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4042402131300 its reverse (31312042404), we get a palindrome (4073714173704).

The spelling of 4042402131300 in words is "four trillion, forty-two billion, four hundred two million, one hundred thirty-one thousand, three hundred".