4680144400 has 120 divisors (see below), whose sum is σ = 11644675328. Its totient is φ = 1805760000.

The previous prime is 4680144389. The next prime is 4680144401. The reversal of 4680144400 is 44410864.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (4680144401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7080070 + ... + 7080730.

Almost surely, 2^4680144400 is an apocalyptic number.

4680144400 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 4680144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5822337664).

4680144400 is an abundant number, since it is smaller than the sum of its proper divisors (6964530928).

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

4680144400 is a wasteful number, since it uses less digits than its factorization.

4680144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 4680144400 is about 68411.5808909573. The cubic root of 4680144400 is about 1672.7065247398.

The spelling of 4680144400 in words is "four billion, six hundred eighty million, one hundred forty-four thousand, four hundred".