19232342425440 has 1152 divisors, whose sum is σ = 72928999503360. Its totient is φ = 4769412710400.

The previous prime is 19232342425399. The next prime is 19232342425447. The reversal of 19232342425440 is 4452424323291.

19232342425440 is a `hidden beast` number, since 1 + 9 + 2 + 3 + 23 + 42 + 42 + 544 + 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 not an unprimeable number, because it can be changed into a prime (19232342425447) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 33681860355 + ... + 33681860925.

It is an arithmetic number, because the mean of its divisors is an integer number (63306423180).

Almost surely, 2^{19232342425440} is an apocalyptic number.

19232342425440 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 19232342425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36464499751680).

19232342425440 is an abundant number, since it is smaller than the sum of its proper divisors (53696657077920).

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

19232342425440 is a wasteful number, since it uses less digits than its factorization.

19232342425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 19232342425440 in words is "nineteen trillion, two hundred thirty-two billion, three hundred forty-two million, four hundred twenty-five thousand, four hundred forty".