642651422310400 has 360 divisors, whose sum is σ = 1638634228822080. Its totient is φ = 249863602176000.

The previous prime is 642651422310397. The next prime is 642651422310439. The reversal of 642651422310400 is 4013224156246.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4550994996 + ... + 4551136204.

It is an arithmetic number, because the mean of its divisors is an integer number (4551761746728).

Almost surely, 2^{642651422310400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642651422310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819317114411040).

642651422310400 is an abundant number, since it is smaller than the sum of its proper divisors (995982806511680).

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

642651422310400 is a wasteful number, since it uses less digits than its factorization.

642651422310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141559 (or 141528 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

Adding to 642651422310400 its reverse (4013224156246), we get a palindrome (646664646466646).

The spelling of 642651422310400 in words is "six hundred forty-two trillion, six hundred fifty-one billion, four hundred twenty-two million, three hundred ten thousand, four hundred".