42505212257280 has 1056 divisors, whose sum is σ = 159797411504640. Its totient is φ = 10822373867520.

The previous prime is 42505212257257. The next prime is 42505212257329. The reversal of 42505212257280 is 8275221250524.

42505212257280 is a `hidden beast` number, since 4 + 2 + 5 + 0 + 52 + 1 + 22 + 572 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2397487456 + ... + 2397505184.

Almost surely, 2^{42505212257280} is an apocalyptic number.

42505212257280 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 42505212257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79898705752320).

42505212257280 is an abundant number, since it is smaller than the sum of its proper divisors (117292199247360).

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

42505212257280 is a wasteful number, since it uses less digits than its factorization.

42505212257280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17857 (or 17827 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 42505212257280 in words is "forty-two trillion, five hundred five billion, two hundred twelve million, two hundred fifty-seven thousand, two hundred eighty".