42113433600 has 960 divisors, whose sum is σ = 187233552000. Its totient is φ = 9059696640.

The previous prime is 42113433563. The next prime is 42113433613. The reversal of 42113433600 is 633431124.

42113433600 is a `hidden beast` number, since 4 + 2 + 1 + 13 + 43 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2477260792 + ... + 2477260808.

It is an arithmetic number, because the mean of its divisors is an integer number (195034950).

Almost surely, 2^42113433600 is an apocalyptic number.

42113433600 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 42113433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93616776000).

42113433600 is an abundant number, since it is smaller than the sum of its proper divisors (145120118400).

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

42113433600 is an frugal number, since it uses more digits than its factorization.

42113433600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 42113433600 its reverse (633431124), we get a palindrome (42746864724).

The spelling of 42113433600 in words is "forty-two billion, one hundred thirteen million, four hundred thirty-three thousand, six hundred".