4008521253312 has 84 divisors (see below), whose sum is σ = 11490115771056. Its totient is φ = 1336125680640.

The previous prime is 4008521253299. The next prime is 4008521253367. The reversal of 4008521253312 is 2133521258004.

4008521253312 is a `hidden beast` number, since 4 + 0 + 0 + 85 + 212 + 53 + 312 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18234612 + ... + 18453132.

Almost surely, 2^{4008521253312} is an apocalyptic number.

It is an amenable number.

4008521253312 is an abundant number, since it is smaller than the sum of its proper divisors (7481594517744).

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

4008521253312 is a wasteful number, since it uses less digits than its factorization.

4008521253312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250386 (or 250373 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 4008521253312 in words is "four trillion, eight billion, five hundred twenty-one million, two hundred fifty-three thousand, three hundred twelve".