4003316436312 has 144 divisors (see below), whose sum is σ = 11528218375440. Its totient is φ = 1254786204672.

The previous prime is 4003316436253. The next prime is 4003316436313. The reversal of 4003316436312 is 2136346133004.

4003316436312 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 3 + 1 + 643 + 6 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×4003316436312² (a number of 26 digits) contains 22 as substring.

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 (4003316436313) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22655133 + ... + 22831155.

Almost surely, 2^{4003316436312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4003316436312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5764109187720).

4003316436312 is an abundant number, since it is smaller than the sum of its proper divisors (7524901939128).

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

4003316436312 is a wasteful number, since it uses less digits than its factorization.

4003316436312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177162 (or 177138 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 4003316436312 in words is "four trillion, three billion, three hundred sixteen million, four hundred thirty-six thousand, three hundred twelve".