42733206120 has 256 divisors, whose sum is σ = 147892469760. Its totient is φ = 9780480000.

The previous prime is 42733206101. The next prime is 42733206169. The reversal of 42733206120 is 2160233724.

It is a super-2 number, since 2×42733206120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1664985 + ... + 1690455.

It is an arithmetic number, because the mean of its divisors is an integer number (577704960).

Almost surely, 2^42733206120 is an apocalyptic number.

42733206120 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 42733206120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73946234880).

42733206120 is an abundant number, since it is smaller than the sum of its proper divisors (105159263640).

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

42733206120 is a wasteful number, since it uses less digits than its factorization.

42733206120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25568 (or 25564 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

Adding to 42733206120 its reverse (2160233724), we get a palindrome (44893439844).

The spelling of 42733206120 in words is "forty-two billion, seven hundred thirty-three million, two hundred six thousand, one hundred twenty".