4001286218832 has 240 divisors, whose sum is σ = 12978307275648. Its totient is φ = 1127109427200.

The previous prime is 4001286218819. The next prime is 4001286218863. The reversal of 4001286218832 is 2388126821004.

4001286218832 is a `hidden beast` number, since 4 + 0 + 0 + 12 + 8 + 621 + 8 + 8 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209778448 + ... + 209797520.

Almost surely, 2^{4001286218832} is an apocalyptic number.

4001286218832 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 4001286218832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6489153637824).

4001286218832 is an abundant number, since it is smaller than the sum of its proper divisors (8977021056816).

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

4001286218832 is a wasteful number, since it uses less digits than its factorization.

4001286218832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22018 (or 22009 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 4001286218832 in words is "four trillion, one billion, two hundred eighty-six million, two hundred eighteen thousand, eight hundred thirty-two".