42931848960 has 2304 divisors, whose sum is σ = 219551109120. Its totient is φ = 7644119040.

The previous prime is 42931848941. The next prime is 42931848961. The reversal of 42931848960 is 6984813924.

42931848960 is a `hidden beast` number, since 4 + 2 + 93 + 18 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a junction number, because it is equal to n+sod(n) for n = 42931848897 and 42931848906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42931848961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 588107484 + ... + 588107556.

It is an arithmetic number, because the mean of its divisors is an integer number (95291280).

Almost surely, 2^42931848960 is an apocalyptic number.

42931848960 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 42931848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109775554560).

42931848960 is an abundant number, since it is smaller than the sum of its proper divisors (176619260160).

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

42931848960 is a wasteful number, since it uses less digits than its factorization.

42931848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 42931848960 in words is "forty-two billion, nine hundred thirty-one million, eight hundred forty-eight thousand, nine hundred sixty".