4742922731040 has 576 divisors, whose sum is σ = 18388400284800. Its totient is φ = 1103583854592.

The previous prime is 4742922731033. The next prime is 4742922731051. The reversal of 4742922731040 is 401372292474.

4742922731040 is a `hidden beast` number, since 4 + 7 + 4 + 292 + 2 + 7 + 310 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162531171 + ... + 162560349.

It is an arithmetic number, because the mean of its divisors is an integer number (31924306050).

Almost surely, 2^{4742922731040} is an apocalyptic number.

4742922731040 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 4742922731040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9194200142400).

4742922731040 is an abundant number, since it is smaller than the sum of its proper divisors (13645477553760).

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

4742922731040 is a wasteful number, since it uses less digits than its factorization.

4742922731040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29689 (or 29678 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 4742922731040 in words is "four trillion, seven hundred forty-two billion, nine hundred twenty-two million, seven hundred thirty-one thousand, forty".