42560940397248 has 1120 divisors, whose sum is σ = 166788746432000. Its totient is φ = 10633971382272.

The previous prime is 42560940397237. The next prime is 42560940397273. The reversal of 42560940397248 is 84279304906524.

42560940397248 is a `hidden beast` number, since 4 + 2 + 560 + 9 + 40 + 3 + 9 + 7 + 24 + 8 = 666.

It is a super-2 number, since 2×42560940397248² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 439145211 + ... + 439242117.

It is an arithmetic number, because the mean of its divisors is an integer number (148918523600).

Almost surely, 2^{42560940397248} is an apocalyptic number.

42560940397248 is a gapful number since it is divisible by the number (48) 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 42560940397248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83394373216000).

42560940397248 is an abundant number, since it is smaller than the sum of its proper divisors (124227806034752).

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

42560940397248 is a wasteful number, since it uses less digits than its factorization.

42560940397248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96984 (or 96951 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 42560940397248 in words is "forty-two trillion, five hundred sixty billion, nine hundred forty million, three hundred ninety-seven thousand, two hundred forty-eight".