4020278435712 has 768 divisors, whose sum is σ = 15193032192000. Its totient is φ = 1010509516800.

The previous prime is 4020278435659. The next prime is 4020278435717. The reversal of 4020278435712 is 2175348720204.

4020278435712 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 2 + 78 + 4 + 3 + 571 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020278435717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134726458 + ... + 134756294.

It is an arithmetic number, because the mean of its divisors is an integer number (19782594000).

Almost surely, 2^{4020278435712} is an apocalyptic number.

4020278435712 is a gapful number since it is divisible by the number (42) 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 4020278435712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7596516096000).

4020278435712 is an abundant number, since it is smaller than the sum of its proper divisors (11172753756288).

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

4020278435712 is a wasteful number, since it uses less digits than its factorization.

4020278435712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29920 (or 29891 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 4020278435712 in words is "four trillion, twenty billion, two hundred seventy-eight million, four hundred thirty-five thousand, seven hundred twelve".