642826301040 has 640 divisors, whose sum is σ = 2768608512000. Its totient is φ = 133183733760.

The previous prime is 642826300981. The next prime is 642826301101. The reversal of 642826301040 is 40103628246.

642826301040 is a `hidden beast` number, since 6 + 4 + 2 + 8 + 2 + 630 + 10 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 642826300986 and 642826301004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58705486 + ... + 58716434.

It is an arithmetic number, because the mean of its divisors is an integer number (4325950800).

Almost surely, 2^642826301040 is an apocalyptic number.

642826301040 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 642826301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384304256000).

642826301040 is an abundant number, since it is smaller than the sum of its proper divisors (2125782210960).

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

642826301040 is a wasteful number, since it uses less digits than its factorization.

642826301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11342 (or 11330 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 642826301040 its reverse (40103628246), we get a palindrome (682929929286).

The spelling of 642826301040 in words is "six hundred forty-two billion, eight hundred twenty-six million, three hundred one thousand, forty".