19027004995440 has 960 divisors, whose sum is σ = 73157133643776. Its totient is φ = 4566581784576.

The previous prime is 19027004995379. The next prime is 19027004995441. The reversal of 19027004995440 is 4459940072091.

19027004995440 is a `hidden beast` number, since 1 + 9 + 0 + 2 + 7 + 0 + 0 + 4 + 99 + 544 + 0 = 666.

It is a super-3 number, since 3×19027004995440³ (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19027004995441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3290158789 + ... + 3290164571.

Almost surely, 2^{19027004995440} is an apocalyptic number.

19027004995440 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 19027004995440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36578566821888).

19027004995440 is an abundant number, since it is smaller than the sum of its proper divisors (54130128648336).

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

19027004995440 is a wasteful number, since it uses less digits than its factorization.

19027004995440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6148 (or 6130 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 19027004995440 in words is "nineteen trillion, twenty-seven billion, four million, nine hundred ninety-five thousand, four hundred forty".