4019205506928 has 160 divisors (see below), whose sum is σ = 10663304171520. Its totient is φ = 1303732039680.

The previous prime is 4019205506909. The next prime is 4019205506929. The reversal of 4019205506928 is 8296055029104.

4019205506928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4019205506928² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4019205506929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1795088433 + ... + 1795090671.

It is an arithmetic number, because the mean of its divisors is an integer number (66645651072).

Almost surely, 2^{4019205506928} is an apocalyptic number.

4019205506928 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 4019205506928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331652085760).

4019205506928 is an abundant number, since it is smaller than the sum of its proper divisors (6644098664592).

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

4019205506928 is a wasteful number, since it uses less digits than its factorization.

4019205506928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207 (or 4201 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 4019205506928 in words is "four trillion, nineteen billion, two hundred five million, five hundred six thousand, nine hundred twenty-eight".