19400640127040 has 448 divisors, whose sum is σ = 51563961123840. Its totient is φ = 6915151626240.

The previous prime is 19400640126983. The next prime is 19400640127103. The reversal of 19400640127040 is 4072104600491.

It is a junction number, because it is equal to n+sod(n) for n = 19400640126985 and 19400640127003.

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 63 ways as a sum of consecutive naturals, for example, 5216626301 + ... + 5216630019.

Almost surely, 2^{19400640127040} is an apocalyptic number.

19400640127040 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 19400640127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25781980561920).

19400640127040 is an abundant number, since it is smaller than the sum of its proper divisors (32163320996800).

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

19400640127040 is a wasteful number, since it uses less digits than its factorization.

19400640127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 19400640127040 in words is "nineteen trillion, four hundred billion, six hundred forty million, one hundred twenty-seven thousand, forty".