42291855360 has 768 divisors, whose sum is σ = 161939606400. Its totient is φ = 10173284352.

The previous prime is 42291855293. The next prime is 42291855367. The reversal of 42291855360 is 6355819224.

42291855360 is a `hidden beast` number, since 4 + 2 + 2 + 91 + 8 + 553 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 (42291855367) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 983531499 + ... + 983531541.

Almost surely, 2^42291855360 is an apocalyptic number.

42291855360 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 42291855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80969803200).

42291855360 is an abundant number, since it is smaller than the sum of its proper divisors (119647751040).

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

42291855360 is a wasteful number, since it uses less digits than its factorization.

42291855360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 42291855360 in words is "forty-two billion, two hundred ninety-one million, eight hundred fifty-five thousand, three hundred sixty".