4005350215440 has 320 divisors, whose sum is σ = 14227030411776. Its totient is φ = 913147969536.

The previous prime is 4005350215357. The next prime is 4005350215441. The reversal of 4005350215440 is 445120535004.

It is not an unprimeable number, because it can be changed into a prime (4005350215441) 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, 1356365004 + ... + 1356367956.

Almost surely, 2^{4005350215440} is an apocalyptic number.

4005350215440 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 4005350215440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7113515205888).

4005350215440 is an abundant number, since it is smaller than the sum of its proper divisors (10221680196336).

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

4005350215440 is a wasteful number, since it uses less digits than its factorization.

4005350215440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4786 (or 4780 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 4005350215440 in words is "four trillion, five billion, three hundred fifty million, two hundred fifteen thousand, four hundred forty".