4049895970080 has 576 divisors, whose sum is σ = 14737038825600. Its totient is φ = 1049531572224.

The previous prime is 4049895970031. The next prime is 4049895970093. The reversal of 4049895970080 is 800795989404.

4049895970080 is a `hidden beast` number, since 404 + 9 + 89 + 5 + 9 + 70 + 0 + 80 = 666.

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, 2383693071 + ... + 2383694769.

It is an arithmetic number, because the mean of its divisors is an integer number (25585136850).

Almost surely, 2^{4049895970080} is an apocalyptic number.

4049895970080 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 4049895970080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7368519412800).

4049895970080 is an abundant number, since it is smaller than the sum of its proper divisors (10687142855520).

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

4049895970080 is a wasteful number, since it uses less digits than its factorization.

4049895970080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

Subtracting from 4049895970080 its reverse (800795989404), we obtain a square (3249099980676 = 1802526²).

The spelling of 4049895970080 in words is "four trillion, forty-nine billion, eight hundred ninety-five million, nine hundred seventy thousand, eighty".