1673990406144 has 1024 divisors, whose sum is σ = 5943070310400. Its totient is φ = 461513687040.

The previous prime is 1673990406139. The next prime is 1673990406149. The reversal of 1673990406144 is 4416040993761.

1673990406144 is a `hidden beast` number, since 1 + 6 + 7 + 3 + 9 + 90 + 406 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (1673990406139) and next prime (1673990406149).

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1673990406149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23577329629 + ... + 23577329699.

It is an arithmetic number, because the mean of its divisors is an integer number (5803779600).

Almost surely, 2^{1673990406144} is an apocalyptic number.

1673990406144 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 1673990406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971535155200).

1673990406144 is an abundant number, since it is smaller than the sum of its proper divisors (4269079904256).

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

1673990406144 is an frugal number, since it uses more digits than its factorization.

1673990406144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1673990406144 in words is "one trillion, six hundred seventy-three billion, nine hundred ninety million, four hundred six thousand, one hundred forty-four".