4578740345088 has 1440 divisors, whose sum is σ = 17922303817600. Its totient is φ = 1142998843392.

The previous prime is 4578740345087. The next prime is 4578740345129. The reversal of 4578740345088 is 8805430478754.

It is a happy number.

4578740345088 is a `hidden beast` number, since 4 + 5 + 7 + 87 + 40 + 3 + 4 + 508 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4578740345083) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4099140306 + ... + 4099141422.

Almost surely, 2^{4578740345088} is an apocalyptic number.

4578740345088 is a gapful number since it is divisible by the number (48) 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 4578740345088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8961151908800).

4578740345088 is an abundant number, since it is smaller than the sum of its proper divisors (13343563472512).

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

4578740345088 is a wasteful number, since it uses less digits than its factorization.

4578740345088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 120422400, while the sum is 63.

The spelling of 4578740345088 in words is "four trillion, five hundred seventy-eight billion, seven hundred forty million, three hundred forty-five thousand, eighty-eight".