4079419202880 has 504 divisors, whose sum is σ = 16335863231688. Its totient is φ = 931667337216.

The previous prime is 4079419202851. The next prime is 4079419202983. The reversal of 4079419202880 is 882029149704.

4079419202880 is a `hidden beast` number, since 40 + 79 + 419 + 20 + 28 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 311658693696 + 3767760509184 = 558264^2 + 1941072^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×4079419202880² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 180198922 + ... + 180221558.

It is an arithmetic number, because the mean of its divisors is an integer number (32412427047).

Almost surely, 2^{4079419202880} is an apocalyptic number.

4079419202880 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 4079419202880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8167931615844).

4079419202880 is an abundant number, since it is smaller than the sum of its proper divisors (12256444028808).

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

4079419202880 is a wasteful number, since it uses less digits than its factorization.

4079419202880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23951 (or 23931 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 4079419202880 in words is "four trillion, seventy-nine billion, four hundred nineteen million, two hundred two thousand, eight hundred eighty".