1911942144 has 440 divisors, whose sum is σ = 6776716320. Its totient is φ = 525533184.

The previous prime is 1911942133. The next prime is 1911942167. The reversal of 1911942144 is 4412491191.

1911942144 is a `hidden beast` number, since 191 + 1 + 9 + 421 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1911942099 and 1911942108.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21482452 + ... + 21482540.

It is an arithmetic number, because the mean of its divisors is an integer number (15401628).

Almost surely, 2^1911942144 is an apocalyptic number.

1911942144 is a gapful number since it is divisible by the number (14) 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 1911942144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388358160).

1911942144 is an abundant number, since it is smaller than the sum of its proper divisors (4864774176).

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

1911942144 is an equidigital number, since it uses as much as digits as its factorization.

1911942144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1911942144 is about 43725.7606451849. The cubic root of 1911942144 is about 1241.1518398841.

The spelling of 1911942144 in words is "one billion, nine hundred eleven million, nine hundred forty-two thousand, one hundred forty-four".