4005357465312 has 432 divisors, whose sum is σ = 14175927838800. Its totient is φ = 1066379489280.

The previous prime is 4005357465301. The next prime is 4005357465409. The reversal of 4005357465312 is 2135647535004.

4005357465312 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 3 + 574 + 65 + 3 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16233364 + ... + 16478252.

It is an arithmetic number, because the mean of its divisors is an integer number (32814647775).

Almost surely, 2^{4005357465312} is an apocalyptic number.

4005357465312 is a gapful number since it is divisible by the number (42) 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 4005357465312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7087963919400).

4005357465312 is an abundant number, since it is smaller than the sum of its proper divisors (10170570373488).

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

4005357465312 is a wasteful number, since it uses less digits than its factorization.

4005357465312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244999 (or 244981 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 4005357465312 in words is "four trillion, five billion, three hundred fifty-seven million, four hundred sixty-five thousand, three hundred twelve".