4680801440 has 144 divisors (see below), whose sum is σ = 13138578432. Its totient is φ = 1570576896.

The previous prime is 4680801431. The next prime is 4680801467. The reversal of 4680801440 is 441080864.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4680801440.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362129 + ... + 374831.

It is an arithmetic number, because the mean of its divisors is an integer number (91240128).

Almost surely, 2^4680801440 is an apocalyptic number.

4680801440 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 4680801440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6569289216).

4680801440 is an abundant number, since it is smaller than the sum of its proper divisors (8457776992).

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

4680801440 is a wasteful number, since it uses less digits than its factorization.

4680801440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12779 (or 12764 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 4680801440 is about 68416.3828333536. The cubic root of 4680801440 is about 1672.7847975148.

The spelling of 4680801440 in words is "four billion, six hundred eighty million, eight hundred one thousand, four hundred forty".