19304164242000 has 640 divisors, whose sum is σ = 76861824099840. Its totient is φ = 4591491840000.

The previous prime is 19304164241953. The next prime is 19304164242001. The reversal of 19304164242000 is 24246140391.

19304164242000 is a `hidden beast` number, since 1 + 9 + 3 + 0 + 4 + 1 + 642 + 4 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×19304164242000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19304164242001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31175410 + ... + 31788590.

It is an arithmetic number, because the mean of its divisors is an integer number (120096600156).

Almost surely, 2^{19304164242000} is an apocalyptic number.

19304164242000 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 19304164242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38430912049920).

19304164242000 is an abundant number, since it is smaller than the sum of its proper divisors (57557659857840).

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

19304164242000 is a wasteful number, since it uses less digits than its factorization.

19304164242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613277 (or 613255 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 19304164242000 in words is "nineteen trillion, three hundred four billion, one hundred sixty-four million, two hundred forty-two thousand".