4045671360000 has 1000 divisors, whose sum is σ = 15220436901120. Its totient is φ = 1069479936000.

The previous prime is 4045671359999. The next prime is 4045671360007. The reversal of 4045671360000 is 631765404.

It is a happy number.

4045671360000 is a `hidden beast` number, since 4 + 0 + 45 + 6 + 7 + 1 + 3 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1000).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4045671360007) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 3291839386 + ... + 3291840614.

Almost surely, 2^{4045671360000} is an apocalyptic number.

4045671360000 is a gapful number since it is divisible by the number (40) 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 4045671360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7610218450560).

4045671360000 is an abundant number, since it is smaller than the sum of its proper divisors (11174765541120).

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

4045671360000 is an equidigital number, since it uses as much as digits as its factorization.

4045671360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 4045671360000 in words is "four trillion, forty-five billion, six hundred seventy-one million, three hundred sixty thousand".