42291422309100 has 216 divisors, whose sum is σ = 131034519785232. Its totient is φ = 10524268902400.

The previous prime is 42291422309093. The next prime is 42291422309153. The reversal of 42291422309100 is 190322419224.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3256864 + ... + 9756536.

It is an arithmetic number, because the mean of its divisors is an integer number (606641295302).

Almost surely, 2^{42291422309100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42291422309100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65517259892616).

42291422309100 is an abundant number, since it is smaller than the sum of its proper divisors (88743097476132).

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

42291422309100 is a wasteful number, since it uses less digits than its factorization.

42291422309100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6499777 (or 6499747 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 42291422309100 in words is "forty-two trillion, two hundred ninety-one billion, four hundred twenty-two million, three hundred nine thousand, one hundred".