42581015310240 has 2880 divisors, whose sum is σ = 181528097587200. Its totient is φ = 9389389363200.

The previous prime is 42581015310217. The next prime is 42581015310241. The reversal of 42581015310240 is 4201351018524.

42581015310240 is a `hidden beast` number, since 4 + 2 + 5 + 81 + 0 + 1 + 531 + 0 + 2 + 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 = 42581015310195 and 42581015310204.

It is not an unprimeable number, because it can be changed into a prime (42581015310241) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 335283585057 + ... + 335283585183.

It is an arithmetic number, because the mean of its divisors is an integer number (63030589440).

Almost surely, 2^{42581015310240} is an apocalyptic number.

42581015310240 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 42581015310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90764048793600).

42581015310240 is an abundant number, since it is smaller than the sum of its proper divisors (138947082276960).

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

42581015310240 is a wasteful number, since it uses less digits than its factorization.

42581015310240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 42581015310240 its reverse (4201351018524), we get a palindrome (46782366328764).

The spelling of 42581015310240 in words is "forty-two trillion, five hundred eighty-one billion, fifteen million, three hundred ten thousand, two hundred forty".