42507210240 has 640 divisors, whose sum is σ = 169279165440. Its totient is φ = 10019635200.

The previous prime is 42507210217. The next prime is 42507210247. The reversal of 42507210240 is 4201270524.

42507210240 is a `hidden beast` number, since 425 + 0 + 7 + 210 + 24 + 0 = 666.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42507210247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28131085 + ... + 28132595.

It is an arithmetic number, because the mean of its divisors is an integer number (264498696).

Almost surely, 2^42507210240 is an apocalyptic number.

42507210240 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 42507210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84639582720).

42507210240 is an abundant number, since it is smaller than the sum of its proper divisors (126771955200).

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

42507210240 is a wasteful number, since it uses less digits than its factorization.

42507210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 42507210240 its reverse (4201270524), we get a palindrome (46708480764).

The spelling of 42507210240 in words is "forty-two billion, five hundred seven million, two hundred ten thousand, two hundred forty".