4676221440 has 240 divisors, whose sum is σ = 17668306656. Its totient is φ = 1133568000.

The previous prime is 4676221439. The next prime is 4676221447. The reversal of 4676221440 is 441226764.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4676221395 and 4676221404.

It is not an unprimeable number, because it can be changed into a prime (4676221447) 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, 244215 + ... + 262665.

Almost surely, 2^4676221440 is an apocalyptic number.

4676221440 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 4676221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8834153328).

4676221440 is an abundant number, since it is smaller than the sum of its proper divisors (12992085216).

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

4676221440 is a wasteful number, since it uses less digits than its factorization.

4676221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18491 (or 18472 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4676221440 is about 68382.9031264394. The cubic root of 4676221440 is about 1672.2390323918.

The spelling of 4676221440 in words is "four billion, six hundred seventy-six million, two hundred twenty-one thousand, four hundred forty".