42950508120 has 256 divisors, whose sum is σ = 156485952000. Its totient is φ = 10414407168.

The previous prime is 42950508077. The next prime is 42950508127. The reversal of 42950508120 is 2180505924.

42950508120 is a `hidden beast` number, since 4 + 29 + 5 + 0 + 508 + 120 = 666.

It is a super-2 number, since 2×42950508120² (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 (42950508127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 917851 + ... + 963509.

It is an arithmetic number, because the mean of its divisors is an integer number (611273250).

Almost surely, 2^42950508120 is an apocalyptic number.

42950508120 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 42950508120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78242976000).

42950508120 is an abundant number, since it is smaller than the sum of its proper divisors (113535443880).

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

42950508120 is a wasteful number, since it uses less digits than its factorization.

42950508120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45759 (or 45749 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 42950508120 in words is "forty-two billion, nine hundred fifty million, five hundred eight thousand, one hundred twenty".