4668287040 has 448 divisors, whose sum is σ = 17929555200. Its totient is φ = 1138655232.

The previous prime is 4668287009. The next prime is 4668287047. The reversal of 4668287040 is 407828664.

4668287040 is a `hidden beast` number, since 466 + 82 + 8 + 70 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4668287047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5434131 + ... + 5434989.

Almost surely, 2^4668287040 is an apocalyptic number.

4668287040 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 4668287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8964777600).

4668287040 is an abundant number, since it is smaller than the sum of its proper divisors (13261268160).

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

4668287040 is a wasteful number, since it uses less digits than its factorization.

4668287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4668287040 is about 68324.8639954739. The cubic root of 4668287040 is about 1671.2927038990.

The spelling of 4668287040 in words is "four billion, six hundred sixty-eight million, two hundred eighty-seven thousand, forty".