4019111040 has 256 divisors, whose sum is σ = 15412608000. Its totient is φ = 870248448.

The previous prime is 4019111029. The next prime is 4019111077. The reversal of 4019111040 is 401119104.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 4019110998 and 4019111016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247491 + ... + 263229.

It is an arithmetic number, because the mean of its divisors is an integer number (60205500).

Almost surely, 2^4019111040 is an apocalyptic number.

4019111040 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 4019111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7706304000).

4019111040 is an abundant number, since it is smaller than the sum of its proper divisors (11393496960).

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

4019111040 is a wasteful number, since it uses less digits than its factorization.

4019111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15787 (or 15775 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 4019111040 is about 63396.4592071198. The cubic root of 4019111040 is about 1589.9251101945.

The spelling of 4019111040 in words is "four billion, nineteen million, one hundred eleven thousand, forty".