642234341040 has 160 divisors (see below), whose sum is σ = 2060467139520. Its totient is φ = 165285593088.

The previous prime is 642234340927. The next prime is 642234341053. The reversal of 642234341040 is 40143432246.

It is a super-2 number, since 2×642234341040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 642234340992 and 642234341010.

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, 17193424 + ... + 17230736.

It is an arithmetic number, because the mean of its divisors is an integer number (12877919622).

Almost surely, 2^642234341040 is an apocalyptic number.

642234341040 is a gapful number since it is divisible by the number (60) 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 642234341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030233569760).

642234341040 is an abundant number, since it is smaller than the sum of its proper divisors (1418232798480).

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

642234341040 is a wasteful number, since it uses less digits than its factorization.

642234341040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39831 (or 39825 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 642234341040 its reverse (40143432246), we get a palindrome (682377773286).

The spelling of 642234341040 in words is "six hundred forty-two billion, two hundred thirty-four million, three hundred forty-one thousand, forty".