440020151264512 has 288 divisors, whose sum is σ = 1132174302658560. Its totient is φ = 165891009208320.

The previous prime is 440020151264467. The next prime is 440020151264539. The reversal of 440020151264512 is 215462151020044.

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 31 ways as a sum of consecutive naturals, for example, 143688789 + ... + 146719147.

It is an arithmetic number, because the mean of its divisors is an integer number (3931160773120).

Almost surely, 2^{440020151264512} 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 440020151264512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566087151329280).

440020151264512 is an abundant number, since it is smaller than the sum of its proper divisors (692154151394048).

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

440020151264512 is a wasteful number, since it uses less digits than its factorization.

440020151264512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030689 (or 3030675 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 440020151264512 in words is "four hundred forty trillion, twenty billion, one hundred fifty-one million, two hundred sixty-four thousand, five hundred twelve".