19421075041200 has 960 divisors, whose sum is σ = 81790922188800. Its totient is φ = 4282506547200.

The previous prime is 19421075041189. The next prime is 19421075041279. The reversal of 19421075041200 is 214057012491.

19421075041200 is a `hidden beast` number, since 1 + 9 + 4 + 21 + 0 + 7 + 504 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3382870330 + ... + 3382876070.

It is an arithmetic number, because the mean of its divisors is an integer number (85198877280).

Almost surely, 2^{19421075041200} is an apocalyptic number.

19421075041200 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 19421075041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40895461094400).

19421075041200 is an abundant number, since it is smaller than the sum of its proper divisors (62369847147600).

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

19421075041200 is a wasteful number, since it uses less digits than its factorization.

19421075041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7347 (or 7330 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 19421075041200 in words is "nineteen trillion, four hundred twenty-one billion, seventy-five million, forty-one thousand, two hundred".