42433485120 has 896 divisors, whose sum is σ = 173651143680. Its totient is φ = 9661317120.

The previous prime is 42433484993. The next prime is 42433485121. The reversal of 42433485120 is 2158433424.

42433485120 is a `hidden beast` number, since 4 + 24 + 33 + 485 + 120 = 666.

It is a super-2 number, since 2×42433485120² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42433485121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135570084 + ... + 135570396.

It is an arithmetic number, because the mean of its divisors is an integer number (193807080).

Almost surely, 2^42433485120 is an apocalyptic number.

42433485120 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 42433485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86825571840).

42433485120 is an abundant number, since it is smaller than the sum of its proper divisors (131217658560).

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

42433485120 is a wasteful number, since it uses less digits than its factorization.

42433485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 424 counting only the distinct ones).

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

The spelling of 42433485120 in words is "forty-two billion, four hundred thirty-three million, four hundred eighty-five thousand, one hundred twenty".