19410990144000 has 3200 divisors, whose sum is σ = 84108646702080. Its totient is φ = 3945037824000.

The previous prime is 19410990143989. The next prime is 19410990144001. The reversal of 19410990144000 is 44109901491.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (19410990144001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 245708735961 + ... + 245708736039.

Almost surely, 2^{19410990144000} is an apocalyptic number.

19410990144000 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 19410990144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42054323351040).

19410990144000 is an abundant number, since it is smaller than the sum of its proper divisors (64697656558080).

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

19410990144000 is an frugal number, since it uses more digits than its factorization.

19410990144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 19410990144000 in words is "nineteen trillion, four hundred ten billion, nine hundred ninety million, one hundred forty-four thousand".