1673050940400 has 720 divisors, whose sum is σ = 6617290394880. Its totient is φ = 353786265600.

The previous prime is 1673050940399. The next prime is 1673050940411. The reversal of 1673050940400 is 40490503761.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 143222560 + ... + 143234240.

It is an arithmetic number, because the mean of its divisors is an integer number (9190681104).

Almost surely, 2^{1673050940400} is an apocalyptic number.

1673050940400 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 1673050940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308645197440).

1673050940400 is an abundant number, since it is smaller than the sum of its proper divisors (4944239454480).

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

1673050940400 is a wasteful number, since it uses less digits than its factorization.

1673050940400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11802 (or 11774 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 1673050940400 in words is "one trillion, six hundred seventy-three billion, fifty million, nine hundred forty thousand, four hundred".