42211160640 has 672 divisors, whose sum is σ = 167153051520. Its totient is φ = 10052812800.

The previous prime is 42211160639. The next prime is 42211160669. The reversal of 42211160640 is 4606111224.

42211160640 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 1 + 16 + 0 + 640 = 666.

42211160640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52176556 + ... + 52177364.

It is an arithmetic number, because the mean of its divisors is an integer number (248739660).

Almost surely, 2^42211160640 is an apocalyptic number.

42211160640 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 42211160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83576525760).

42211160640 is an abundant number, since it is smaller than the sum of its proper divisors (124941890880).

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

42211160640 is a wasteful number, since it uses less digits than its factorization.

42211160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 42211160640 its reverse (4606111224), we get a palindrome (46817271864).

The spelling of 42211160640 in words is "forty-two billion, two hundred eleven million, one hundred sixty thousand, six hundred forty".