4671333106440 has 512 divisors, whose sum is σ = 19324557987840. Its totient is φ = 871782912000.

The previous prime is 4671333106421. The next prime is 4671333106441. The reversal of 4671333106440 is 446013331764.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4671333106392 and 4671333106401.

It is not an unprimeable number, because it can be changed into a prime (4671333106441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3918915 + ... + 4969965.

It is an arithmetic number, because the mean of its divisors is an integer number (37743277320).

Almost surely, 2^{4671333106440} is an apocalyptic number.

4671333106440 is a gapful number since it is divisible by the number (40) 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 4671333106440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9662278993920).

4671333106440 is an abundant number, since it is smaller than the sum of its proper divisors (14653224881400).

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

4671333106440 is a wasteful number, since it uses less digits than its factorization.

4671333106440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051133 (or 1051129 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 4671333106440 in words is "four trillion, six hundred seventy-one billion, three hundred thirty-three million, one hundred six thousand, four hundred forty".