4005363479040 has 2880 divisors, whose sum is σ = 19020029783040. Its totient is φ = 783641640960.

The previous prime is 4005363479009. The next prime is 4005363479057. The reversal of 4005363479040 is 409743635004.

4005363479040 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 3 + 634 + 7 + 9 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24572781999 + ... + 24572782161.

It is an arithmetic number, because the mean of its divisors is an integer number (6604177008).

Almost surely, 2^{4005363479040} is an apocalyptic number.

4005363479040 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 4005363479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9510014891520).

4005363479040 is an abundant number, since it is smaller than the sum of its proper divisors (15014666304000).

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

4005363479040 is an equidigital number, since it uses as much as digits as its factorization.

4005363479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 4005363479040 in words is "four trillion, five billion, three hundred sixty-three million, four hundred seventy-nine thousand, forty".