42235112640 has 224 divisors, whose sum is σ = 154426212864. Its totient is φ = 9579847680.

The previous prime is 42235112639. The next prime is 42235112663. The reversal of 42235112640 is 4621153224.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 42235112598 and 42235112607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 856332 + ... + 904308.

It is an arithmetic number, because the mean of its divisors is an integer number (689402736).

Almost surely, 2^42235112640 is an apocalyptic number.

42235112640 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 42235112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77213106432).

42235112640 is an abundant number, since it is smaller than the sum of its proper divisors (112191100224).

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

42235112640 is a wasteful number, since it uses less digits than its factorization.

42235112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48135 (or 48125 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 42235112640 its reverse (4621153224), we get a palindrome (46856265864).

The spelling of 42235112640 in words is "forty-two billion, two hundred thirty-five million, one hundred twelve thousand, six hundred forty".