8440026133632 has 256 divisors, whose sum is σ = 23466131619840. Its totient is φ = 2682690560000.

The previous prime is 8440026133601. The next prime is 8440026133667. The reversal of 8440026133632 is 2363316200448.

It is a super-2 number, since 2×8440026133632² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7332776257 + ... + 7332777407.

It is an arithmetic number, because the mean of its divisors is an integer number (91664576640).

Almost surely, 2^{8440026133632} 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 8440026133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11733065809920).

8440026133632 is an abundant number, since it is smaller than the sum of its proper divisors (15026105486208).

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

8440026133632 is a wasteful number, since it uses less digits than its factorization.

8440026133632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 8440026133632 in words is "eight trillion, four hundred forty billion, twenty-six million, one hundred thirty-three thousand, six hundred thirty-two".