42404663347200 has 5184 divisors, whose sum is σ = 208222029812160. Its totient is φ = 8193127219200.

The previous prime is 42404663347187. The next prime is 42404663347201. The reversal of 42404663347200 is 274336640424.

42404663347200 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 4 + 6 + 633 + 4 + 7 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42404663347201) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 510899558359 + ... + 510899558441.

It is an arithmetic number, because the mean of its divisors is an integer number (40166286615).

Almost surely, 2^{42404663347200} is an apocalyptic number.

42404663347200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42404663347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104111014906080).

42404663347200 is an abundant number, since it is smaller than the sum of its proper divisors (165817366464960).

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

42404663347200 is a wasteful number, since it uses less digits than its factorization.

42404663347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 45.

Adding to 42404663347200 its reverse (274336640424), we get a palindrome (42678999987624).

The spelling of 42404663347200 in words is "forty-two trillion, four hundred four billion, six hundred sixty-three million, three hundred forty-seven thousand, two hundred".