4742375040 has 640 divisors, whose sum is σ = 18909918720. Its totient is φ = 1124720640.

The previous prime is 4742375023. The next prime is 4742375081. The reversal of 4742375040 is 405732474.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 4742374986 and 4742375004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20891407 + ... + 20891633.

It is an arithmetic number, because the mean of its divisors is an integer number (29546748).

Almost surely, 2^4742375040 is an apocalyptic number.

4742375040 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 4742375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9454959360).

4742375040 is an abundant number, since it is smaller than the sum of its proper divisors (14167543680).

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

4742375040 is a wasteful number, since it uses less digits than its factorization.

4742375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 4742375040 is about 68864.9042691559. The cubic root of 4742375040 is about 1680.0877505185.

The spelling of 4742375040 in words is "four billion, seven hundred forty-two million, three hundred seventy-five thousand, forty".