4192738165440 has 1792 divisors, whose sum is σ = 17706295296000. Its totient is φ = 930357964800.

The previous prime is 4192738165417. The next prime is 4192738165477. The reversal of 4192738165440 is 445618372914.

4192738165440 is a `hidden beast` number, since 4 + 1 + 9 + 2 + 7 + 38 + 165 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 6773405451 + ... + 6773406069.

It is a 1-persistent number, because it is pandigital, but 2⋅4192738165440 = 8385476330880 is not.

Almost surely, 2^{4192738165440} is an apocalyptic number.

4192738165440 is a gapful number since it is divisible by the number (40) 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 4192738165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8853147648000).

4192738165440 is an abundant number, since it is smaller than the sum of its proper divisors (13513557130560).

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

4192738165440 is a wasteful number, since it uses less digits than its factorization.

4192738165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4192738165440 in words is "four trillion, one hundred ninety-two billion, seven hundred thirty-eight million, one hundred sixty-five thousand, four hundred forty".