671444005478400 has 3360 divisors, whose sum is σ = 3185138147254272. Its totient is φ = 135740443852800.

The previous prime is 671444005478261. The next prime is 671444005478401. The reversal of 671444005478400 is 4874500444176.

671444005478400 is a `hidden beast` number, since 6 + 7 + 14 + 4 + 4 + 0 + 0 + 547 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671444005478401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 47261484097 + ... + 47261498303.

Almost surely, 2^{671444005478400} is an apocalyptic number.

671444005478400 is a gapful number since it is divisible by the number (60) 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 671444005478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592569073627136).

671444005478400 is an abundant number, since it is smaller than the sum of its proper divisors (2513694141775872).

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

671444005478400 is a wasteful number, since it uses less digits than its factorization.

671444005478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14310 (or 14272 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 671444005478400 in words is "six hundred seventy-one trillion, four hundred forty-four billion, five million, four hundred seventy-eight thousand, four hundred".