642262530370140 has 384 divisors, whose sum is σ = 2126763237150720. Its totient is φ = 160551121775616.

The previous prime is 642262530370129. The next prime is 642262530370159. The reversal of 642262530370140 is 41073035262246.

642262530370140 is a `hidden beast` number, since 6 + 4 + 2 + 2 + 6 + 2 + 530 + 3 + 70 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 583326622 + ... + 584426618.

It is an arithmetic number, because the mean of its divisors is an integer number (5538445930080).

Almost surely, 2^{642262530370140} is an apocalyptic number.

642262530370140 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 642262530370140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063381618575360).

642262530370140 is an abundant number, since it is smaller than the sum of its proper divisors (1484500706780580).

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

642262530370140 is a wasteful number, since it uses less digits than its factorization.

642262530370140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100978 (or 1100970 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 642262530370140 in words is "six hundred forty-two trillion, two hundred sixty-two billion, five hundred thirty million, three hundred seventy thousand, one hundred forty".