4677189438240 has 288 divisors, whose sum is σ = 17417083320000. Its totient is φ = 1133526620160.

The previous prime is 4677189438227. The next prime is 4677189438247. The reversal of 4677189438240 is 428349817764.

4677189438240 is a `hidden beast` number, since 4 + 6 + 77 + 189 + 4 + 382 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4677189438240² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4677189438247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55381966 + ... + 55466354.

It is an arithmetic number, because the mean of its divisors is an integer number (60475983750).

Almost surely, 2^{4677189438240} is an apocalyptic number.

4677189438240 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 4677189438240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8708541660000).

4677189438240 is an abundant number, since it is smaller than the sum of its proper divisors (12739893881760).

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

4677189438240 is a wasteful number, since it uses less digits than its factorization.

4677189438240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87920 (or 87909 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 4677189438240 in words is "four trillion, six hundred seventy-seven billion, one hundred eighty-nine million, four hundred thirty-eight thousand, two hundred forty".