4280420015640 has 384 divisors, whose sum is σ = 14189776473600. Its totient is φ = 1118877788160.

The previous prime is 4280420015603. The next prime is 4280420015653. The reversal of 4280420015640 is 465100240824.

4280420015640 is a `hidden beast` number, since 4 + 2 + 8 + 0 + 4 + 2 + 0 + 0 + 1 + 5 + 640 = 666.

4280420015640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 4280420015595 and 4280420015604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2128502235 + ... + 2128504245.

It is an arithmetic number, because the mean of its divisors is an integer number (36952542900).

Almost surely, 2^{4280420015640} is an apocalyptic number.

4280420015640 is a gapful number since it is divisible by the number (40) 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 4280420015640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7094888236800).

4280420015640 is an abundant number, since it is smaller than the sum of its proper divisors (9909356457960).

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

4280420015640 is a wasteful number, since it uses less digits than its factorization.

4280420015640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 4280420015640 in words is "four trillion, two hundred eighty billion, four hundred twenty million, fifteen thousand, six hundred forty".