19453252019040 has 1536 divisors, whose sum is σ = 82685256192000. Its totient is φ = 4176971366400.

The previous prime is 19453252019027. The next prime is 19453252019051. The reversal of 19453252019040 is 4091025235491.

It is a happy number.

19453252019040 is a `hidden beast` number, since 1 + 9 + 4 + 5 + 32 + 520 + 1 + 90 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23694581830 + ... + 23694582650.

It is an arithmetic number, because the mean of its divisors is an integer number (53831547000).

Almost surely, 2^{19453252019040} is an apocalyptic number.

19453252019040 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 19453252019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41342628096000).

19453252019040 is an abundant number, since it is smaller than the sum of its proper divisors (63232004172960).

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

19453252019040 is a wasteful number, since it uses less digits than its factorization.

19453252019040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 19453252019040 in words is "nineteen trillion, four hundred fifty-three billion, two hundred fifty-two million, nineteen thousand, forty".