42207298560 has 1320 divisors, whose sum is σ = 184326683904. Its totient is φ = 9196830720.

The previous prime is 42207298543. The next prime is 42207298571. The reversal of 42207298560 is 6589270224.

42207298560 is a `hidden beast` number, since 42 + 20 + 7 + 29 + 8 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 629959647 + ... + 629959713.

Almost surely, 2^42207298560 is an apocalyptic number.

42207298560 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 42207298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92163341952).

42207298560 is an abundant number, since it is smaller than the sum of its proper divisors (142119385344).

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

42207298560 is a wasteful number, since it uses less digits than its factorization.

42207298560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 42207298560 in words is "forty-two billion, two hundred seven million, two hundred ninety-eight thousand, five hundred sixty".