19421460107712 has 336 divisors, whose sum is σ = 62095576827648. Its totient is φ = 5763307438080.

The previous prime is 19421460107711. The next prime is 19421460107723. The reversal of 19421460107712 is 21770106412491.

19421460107712 is a `hidden beast` number, since 1 + 9 + 4 + 21 + 4 + 601 + 0 + 7 + 7 + 12 = 666.

It is a super-2 number, since 2×19421460107712² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19421460107711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67870728 + ... + 68156280.

It is an arithmetic number, because the mean of its divisors is an integer number (184808264368).

Almost surely, 2^{19421460107712} is an apocalyptic number.

19421460107712 is a gapful number since it is divisible by the number (12) 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 19421460107712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31047788413824).

19421460107712 is an abundant number, since it is smaller than the sum of its proper divisors (42674116719936).

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

19421460107712 is a wasteful number, since it uses less digits than its factorization.

19421460107712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285908 (or 285895 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 19421460107712 in words is "nineteen trillion, four hundred twenty-one billion, four hundred sixty million, one hundred seven thousand, seven hundred twelve".