19404045350144 has 864 divisors, whose sum is σ = 51777549567744. Its totient is φ = 7054247854080.

The previous prime is 19404045350113. The next prime is 19404045350147. The reversal of 19404045350144 is 44105354040491.

It is a junction number, because it is equal to n+sod(n) for n = 19404045350095 and 19404045350104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19404045350147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171717215432 + ... + 171717215544.

Almost surely, 2^{19404045350144} is an apocalyptic number.

19404045350144 is a gapful number since it is divisible by the number (14) 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 19404045350144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25888774783872).

19404045350144 is an abundant number, since it is smaller than the sum of its proper divisors (32373504217600).

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

19404045350144 is a wasteful number, since it uses less digits than its factorization.

19404045350144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 19404045350144 in words is "nineteen trillion, four hundred four billion, forty-five million, three hundred fifty thousand, one hundred forty-four".