4030918649856 has 672 divisors, whose sum is σ = 13923928811520. Its totient is φ = 1142246375424.

The previous prime is 4030918649839. The next prime is 4030918649887. The reversal of 4030918649856 is 6589468190304.

4030918649856 is a `hidden beast` number, since 4 + 0 + 3 + 0 + 91 + 8 + 6 + 498 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4030918649793 and 4030918649802.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 1327268370 + ... + 1327271406.

It is an arithmetic number, because the mean of its divisors is an integer number (20720132160).

Almost surely, 2^{4030918649856} 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 4030918649856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6961964405760).

4030918649856 is an abundant number, since it is smaller than the sum of its proper divisors (9893010161664).

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

4030918649856 is an equidigital number, since it uses as much as digits as its factorization.

4030918649856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 4030918649856 in words is "four trillion, thirty billion, nine hundred eighteen million, six hundred forty-nine thousand, eight hundred fifty-six".