19011419007000 has 384 divisors, whose sum is σ = 70301723394240. Its totient is φ = 4263475507200.

The previous prime is 19011419006981. The next prime is 19011419007029. The reversal of 19011419007000 is 70091411091.

It is a super-2 number, since 2×19011419007000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6570912 + ... + 9011088.

Almost surely, 2^{19011419007000} is an apocalyptic number.

19011419007000 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 19011419007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35150861697120).

19011419007000 is an abundant number, since it is smaller than the sum of its proper divisors (51290304387240).

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

19011419007000 is a wasteful number, since it uses less digits than its factorization.

19011419007000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440268 (or 2440247 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 33.

The spelling of 19011419007000 in words is "nineteen trillion, eleven billion, four hundred nineteen million, seven thousand".