42241260257280 has 1344 divisors, whose sum is σ = 175492280033280. Its totient is φ = 9439297929216.

The previous prime is 42241260257267. The next prime is 42241260257281. The reversal of 42241260257280 is 8275206214224.

42241260257280 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 12 + 60 + 2 + 572 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42241260257281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46572502587 + ... + 46572503493.

It is an arithmetic number, because the mean of its divisors is an integer number (130574613120).

Almost surely, 2^{42241260257280} is an apocalyptic number.

42241260257280 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 42241260257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87746140016640).

42241260257280 is an abundant number, since it is smaller than the sum of its proper divisors (133251019776000).

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

42241260257280 is an frugal number, since it uses more digits than its factorization.

42241260257280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 42241260257280 in words is "forty-two trillion, two hundred forty-one billion, two hundred sixty million, two hundred fifty-seven thousand, two hundred eighty".