4674109440 has 960 divisors, whose sum is σ = 21138647040. Its totient is φ = 849346560.

The previous prime is 4674109373. The next prime is 4674109463. The reversal of 4674109440 is 449014764.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×4674109440² = 43694598114194227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246005751 + ... + 246005769.

It is an arithmetic number, because the mean of its divisors is an integer number (22019424).

Almost surely, 2^4674109440 is an apocalyptic number.

4674109440 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 4674109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10569323520).

4674109440 is an abundant number, since it is smaller than the sum of its proper divisors (16464537600).

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

4674109440 is a wasteful number, since it uses less digits than its factorization.

4674109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4674109440 is about 68367.4589260125. The cubic root of 4674109440 is about 1671.9872407320.

The spelling of 4674109440 in words is "four billion, six hundred seventy-four million, one hundred nine thousand, four hundred forty".