4202108623440 has 2560 divisors, whose sum is σ = 19678740480000. Its totient is φ = 809279299584.

The previous prime is 4202108623439. The next prime is 4202108623441. The reversal of 4202108623440 is 443268012024.

4202108623440 is a `hidden beast` number, since 4 + 2 + 0 + 21 + 0 + 8 + 623 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4202108623439) and next prime (4202108623441).

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 = 4202108623395 and 4202108623404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202108623441) 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 511 ways as a sum of consecutive naturals, for example, 8772669121 + ... + 8772669599.

It is an arithmetic number, because the mean of its divisors is an integer number (7687008000).

Almost surely, 2^{4202108623440} is an apocalyptic number.

4202108623440 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 4202108623440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9839370240000).

4202108623440 is an abundant number, since it is smaller than the sum of its proper divisors (15476631856560).

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

4202108623440 is a wasteful number, since it uses less digits than its factorization.

4202108623440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 4202108623440 in words is "four trillion, two hundred two billion, one hundred eight million, six hundred twenty-three thousand, four hundred forty".