19340948240100 has 288 divisors, whose sum is σ = 63420695815680. Its totient is φ = 5054684544000.

The previous prime is 19340948240093. The next prime is 19340948240179. The reversal of 19340948240100 is 104284904391.

19340948240100 is a `hidden beast` number, since 1 + 9 + 340 + 94 + 82 + 40 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130289920 + ... + 130438280.

It is an arithmetic number, because the mean of its divisors is an integer number (220210749360).

Almost surely, 2^{19340948240100} is an apocalyptic number.

19340948240100 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 19340948240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31710347907840).

19340948240100 is an abundant number, since it is smaller than the sum of its proper divisors (44079747575580).

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

19340948240100 is a wasteful number, since it uses less digits than its factorization.

19340948240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149348 (or 149335 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 19340948240100 in words is "nineteen trillion, three hundred forty billion, nine hundred forty-eight million, two hundred forty thousand, one hundred".