42285110400 has 1152 divisors, whose sum is σ = 174026361600. Its totient is φ = 10072719360.

The previous prime is 42285110339. The next prime is 42285110467. The reversal of 42285110400 is 401158224.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 475113556 + ... + 475113644.

It is an arithmetic number, because the mean of its divisors is an integer number (151064550).

Almost surely, 2^42285110400 is an apocalyptic number.

42285110400 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 42285110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87013180800).

42285110400 is an abundant number, since it is smaller than the sum of its proper divisors (131741251200).

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

42285110400 is a wasteful number, since it uses less digits than its factorization.

42285110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 42285110400 its reverse (401158224), we get a palindrome (42686268624).

The spelling of 42285110400 in words is "forty-two billion, two hundred eighty-five million, one hundred ten thousand, four hundred".