42712216920 has 384 divisors, whose sum is σ = 148599360000. Its totient is φ = 11028648960.

The previous prime is 42712216913. The next prime is 42712216969. The reversal of 42712216920 is 2961221724.

42712216920 is a `hidden beast` number, since 427 + 1 + 221 + 6 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×42712216920² (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 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 95 ways as a sum of consecutive naturals, for example, 40716556 + ... + 40717604.

It is an arithmetic number, because the mean of its divisors is an integer number (386977500).

Almost surely, 2^42712216920 is an apocalyptic number.

42712216920 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 42712216920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680000).

42712216920 is an abundant number, since it is smaller than the sum of its proper divisors (105887143080).

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

42712216920 is a wasteful number, since it uses less digits than its factorization.

42712216920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 42712216920 in words is "forty-two billion, seven hundred twelve million, two hundred sixteen thousand, nine hundred twenty".