42285301344 has 384 divisors, whose sum is σ = 152528140800. Its totient is φ = 11204904960.

The previous prime is 42285301337. The next prime is 42285301351. The reversal of 42285301344 is 44310358224.

42285301344 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 5 + 301 + 344 = 666.

42285301344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42285301337) and next prime (42285301351).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42285301299 and 42285301308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2338482 + ... + 2356494.

It is an arithmetic number, because the mean of its divisors is an integer number (397208700).

Almost surely, 2^42285301344 is an apocalyptic number.

42285301344 is a gapful number since it is divisible by the number (44) 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 42285301344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76264070400).

42285301344 is an abundant number, since it is smaller than the sum of its proper divisors (110242839456).

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

42285301344 is a wasteful number, since it uses less digits than its factorization.

42285301344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18075 (or 18061 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 42285301344 its reverse (44310358224), we get a palindrome (86595659568).

The spelling of 42285301344 in words is "forty-two billion, two hundred eighty-five million, three hundred one thousand, three hundred forty-four".