42207862752 has 576 divisors, whose sum is σ = 144973946880. Its totient is φ = 11943106560.

The previous prime is 42207862733. The next prime is 42207862777. The reversal of 42207862752 is 25726870224.

It is a junction number, because it is equal to n+sod(n) for n = 42207862698 and 42207862707.

It is a congruent number.

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, 332345313 + ... + 332345439.

It is an arithmetic number, because the mean of its divisors is an integer number (251690880).

Almost surely, 2^42207862752 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 42207862752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72486973440).

42207862752 is an abundant number, since it is smaller than the sum of its proper divisors (102766084128).

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

42207862752 is a wasteful number, since it uses less digits than its factorization.

42207862752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 42207862752 in words is "forty-two billion, two hundred seven million, eight hundred sixty-two thousand, seven hundred fifty-two".