4742723117088 has 240 divisors, whose sum is σ = 15301260041760. Its totient is φ = 1429158297600.

The previous prime is 4742723117009. The next prime is 4742723117089. The reversal of 4742723117088 is 8807113272474.

It is a happy number.

4742723117088 is a `hidden beast` number, since 4 + 7 + 427 + 23 + 117 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4742723117089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4639008 + ... + 5568288.

It is an arithmetic number, because the mean of its divisors is an integer number (63755250174).

Almost surely, 2^{4742723117088} is an apocalyptic number.

4742723117088 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 4742723117088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7650630020880).

4742723117088 is an abundant number, since it is smaller than the sum of its proper divisors (10558536924672).

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

4742723117088 is a wasteful number, since it uses less digits than its factorization.

4742723117088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929493 (or 929476 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 4742723117088 in words is "four trillion, seven hundred forty-two billion, seven hundred twenty-three million, one hundred seventeen thousand, eighty-eight".