4673381440 has 336 divisors, whose sum is σ = 14237427456. Its totient is φ = 1422766080.

The previous prime is 4673381437. The next prime is 4673381467. The reversal of 4673381440 is 441833764.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4673381393 and 4673381402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27984237 + ... + 27984403.

It is an arithmetic number, because the mean of its divisors is an integer number (42373296).

Almost surely, 2^4673381440 is an apocalyptic number.

4673381440 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 4673381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7118713728).

4673381440 is an abundant number, since it is smaller than the sum of its proper divisors (9564046016).

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

4673381440 is a wasteful number, since it uses less digits than its factorization.

4673381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 4673381440 is about 68362.1345483009. The cubic root of 4673381440 is about 1671.9004313318.

The spelling of 4673381440 in words is "four billion, six hundred seventy-three million, three hundred eighty-one thousand, four hundred forty".