19411941120 has 1152 divisors, whose sum is σ = 80106485760. Its totient is φ = 3936092160.

The previous prime is 19411941103. The next prime is 19411941179. The reversal of 19411941120 is 2114911491.

It is a happy number.

It is a super-5 number, since 5×19411941120⁵ (a number of 53 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 366263014 + ... + 366263066.

It is an arithmetic number, because the mean of its divisors is an integer number (69536880).

Almost surely, 2^19411941120 is an apocalyptic number.

19411941120 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 19411941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40053242880).

19411941120 is an abundant number, since it is smaller than the sum of its proper divisors (60694544640).

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

19411941120 is a wasteful number, since it uses less digits than its factorization.

19411941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The spelling of 19411941120 in words is "nineteen billion, four hundred eleven million, nine hundred forty-one thousand, one hundred twenty".