42267202560 has 528 divisors, whose sum is σ = 162506777472. Its totient is φ = 10071244800.

The previous prime is 42267202559. The next prime is 42267202589. The reversal of 42267202560 is 6520276224.

42267202560 is a `hidden beast` number, since 4 + 2 + 26 + 72 + 0 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30918997 + ... + 30920363.

Almost surely, 2^42267202560 is an apocalyptic number.

42267202560 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 42267202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81253388736).

42267202560 is an abundant number, since it is smaller than the sum of its proper divisors (120239574912).

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

42267202560 is a wasteful number, since it uses less digits than its factorization.

42267202560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 42267202560 its reverse (6520276224), we get a palindrome (48787478784).

The spelling of 42267202560 in words is "forty-two billion, two hundred sixty-seven million, two hundred two thousand, five hundred sixty".