42748313040 has 480 divisors, whose sum is σ = 154522967040. Its totient is φ = 10567065600.

The previous prime is 42748313029. The next prime is 42748313053. The reversal of 42748313040 is 4031384724.

42748313040 is a `hidden beast` number, since 4 + 2 + 7 + 483 + 130 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 42748312986 and 42748313004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136575924 + ... + 136576236.

It is an arithmetic number, because the mean of its divisors is an integer number (321922848).

Almost surely, 2^42748313040 is an apocalyptic number.

42748313040 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 42748313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77261483520).

42748313040 is an abundant number, since it is smaller than the sum of its proper divisors (111774654000).

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

42748313040 is a wasteful number, since it uses less digits than its factorization.

42748313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 42748313040 its reverse (4031384724), we get a palindrome (46779697764).

The spelling of 42748313040 in words is "forty-two billion, seven hundred forty-eight million, three hundred thirteen thousand, forty".