19142816940 has 384 divisors, whose sum is σ = 65705472000. Its totient is φ = 4598415360.

The previous prime is 19142816929. The next prime is 19142816963. The reversal of 19142816940 is 4961824191.

It is a happy number.

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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96194961 + ... + 96195159.

It is an arithmetic number, because the mean of its divisors is an integer number (171108000).

Almost surely, 2^19142816940 is an apocalyptic number.

19142816940 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 19142816940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32852736000).

19142816940 is an abundant number, since it is smaller than the sum of its proper divisors (46562655060).

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

19142816940 is a wasteful number, since it uses less digits than its factorization.

19142816940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 19142816940 in words is "nineteen billion, one hundred forty-two million, eight hundred sixteen thousand, nine hundred forty".