19401385661280 has 1152 divisors, whose sum is σ = 80179119820800. Its totient is φ = 4173296504832.

The previous prime is 19401385661279. The next prime is 19401385661311. The reversal of 19401385661280 is 8216658310491.

It is a happy number.

19401385661280 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 13 + 8 + 5 + 6 + 612 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29440645591 + ... + 29440646249.

It is an arithmetic number, because the mean of its divisors is an integer number (69599930400).

Almost surely, 2^{19401385661280} is an apocalyptic number.

19401385661280 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 19401385661280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40089559910400).

19401385661280 is an abundant number, since it is smaller than the sum of its proper divisors (60777734159520).

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

19401385661280 is a wasteful number, since it uses less digits than its factorization.

19401385661280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 19401385661280 in words is "nineteen trillion, four hundred one billion, three hundred eighty-five million, six hundred sixty-one thousand, two hundred eighty".