19434989283840 has 1280 divisors, whose sum is σ = 77749623705600. Its totient is φ = 4565851766784.

The previous prime is 19434989283823. The next prime is 19434989283851. The reversal of 19434989283840 is 4838298943491.

19434989283840 is a `hidden beast` number, since 1 + 9 + 4 + 3 + 498 + 92 + 8 + 3 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13619473207 + ... + 13619474633.

It is an arithmetic number, because the mean of its divisors is an integer number (60741893520).

Almost surely, 2^{19434989283840} is an apocalyptic number.

19434989283840 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 19434989283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38874811852800).

19434989283840 is an abundant number, since it is smaller than the sum of its proper divisors (58314634421760).

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

19434989283840 is a wasteful number, since it uses less digits than its factorization.

19434989283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 19434989283840 in words is "nineteen trillion, four hundred thirty-four billion, nine hundred eighty-nine million, two hundred eighty-three thousand, eight hundred forty".