19041120 has 144 divisors (see below), whose sum is σ = 74299680. Its totient is φ = 4349952.

The previous prime is 19041119. The next prime is 19041203. The reversal of 19041120 is 2114091.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 19041093 and 19041102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9136 + ... + 11024.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 2^19041120 is an apocalyptic number.

19041120 is a gapful number since it is divisible by the number (10) 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 19041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37149840).

19041120 is an abundant number, since it is smaller than the sum of its proper divisors (55258560).

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

19041120 is a wasteful number, since it uses less digits than its factorization.

19041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 19041120 is about 4363.6131817566. The cubic root of 19041120 is about 267.0325256004.

The spelling of 19041120 in words is "nineteen million, forty-one thousand, one hundred twenty".