42949672960 has 68 divisors (see below), whose sum is σ = 103079215098. Its totient is φ = 17179869184.

The previous prime is 42949672949. The next prime is 42949672979. The reversal of 42949672960 is 6927694924.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 38654705664 + 4294967296 = 196608^2 + 65536^2 .

It is a nialpdrome in base 4, base 8 and base 16.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 42949672895 and 42949672904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 42949672960 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8589934590 + ... + 8589934594.

Almost surely, 2^42949672960 is an apocalyptic number.

42949672960 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 42949672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51539607549).

42949672960 is an abundant number, since it is smaller than the sum of its proper divisors (60129542138).

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

42949672960 is an frugal number, since it uses more digits than its factorization.

42949672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 58.

The spelling of 42949672960 in words is "forty-two billion, nine hundred forty-nine million, six hundred seventy-two thousand, nine hundred sixty".