19401120 has 144 divisors (see below), whose sum is σ = 68796000. Its totient is φ = 5163264.

The previous prime is 19401091. The next prime is 19401143. The reversal of 19401120 is 2110491.

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 = 19401093 and 19401102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38631 + ... + 39129.

It is an arithmetic number, because the mean of its divisors is an integer number (477750).

Almost surely, 2^19401120 is an apocalyptic number.

19401120 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 19401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34398000).

19401120 is an abundant number, since it is smaller than the sum of its proper divisors (49394880).

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

19401120 is an equidigital number, since it uses as much as digits as its factorization.

19401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 509 counting only the distinct ones).

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

The square root of 19401120 is about 4404.6702487246. The cubic root of 19401120 is about 268.7049089665.

The spelling of 19401120 in words is "nineteen million, four hundred one thousand, one hundred twenty".