42558474240 has 288 divisors, whose sum is σ = 150300291960. Its totient is φ = 11133517824.

The previous prime is 42558474227. The next prime is 42558474241. The reversal of 42558474240 is 4247485524.

42558474240 is a `hidden beast` number, since 4 + 2 + 558 + 4 + 74 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42482156544 + 76317696 = 206112^2 + 8736^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×42558474240² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42558474241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4880124 + ... + 4888836.

Almost surely, 2^42558474240 is an apocalyptic number.

42558474240 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 42558474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75150145980).

42558474240 is an abundant number, since it is smaller than the sum of its proper divisors (107741817720).

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

42558474240 is a wasteful number, since it uses less digits than its factorization.

42558474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8799 (or 8776 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 45.

The spelling of 42558474240 in words is "forty-two billion, five hundred fifty-eight million, four hundred seventy-four thousand, two hundred forty".