4018295144448 has 216 divisors, whose sum is σ = 12501362692728. Its totient is φ = 1236393787392.

The previous prime is 4018295144429. The next prime is 4018295144471. The reversal of 4018295144448 is 8444415928104.

It is a happy number.

4018295144448 is a `hidden beast` number, since 4 + 0 + 1 + 82 + 9 + 514 + 4 + 4 + 48 = 666.

It is a super-2 number, since 2×4018295144448² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4018295144394 and 4018295144403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15204411 + ... + 15466437.

It is an arithmetic number, because the mean of its divisors is an integer number (57876679133).

Almost surely, 2^{4018295144448} is an apocalyptic number.

4018295144448 is a gapful number since it is divisible by the number (48) 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 4018295144448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6250681346364).

4018295144448 is an abundant number, since it is smaller than the sum of its proper divisors (8483067548280).

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

4018295144448 is an equidigital number, since it uses as much as digits as its factorization.

4018295144448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262080 (or 262045 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 4018295144448 in words is "four trillion, eighteen billion, two hundred ninety-five million, one hundred forty-four thousand, four hundred forty-eight".