42760260000 has 360 divisors, whose sum is σ = 159960921120. Its totient is φ = 10801728000.

The previous prime is 42760259999. The next prime is 42760260041. The reversal of 42760260000 is 6206724.

42760260000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3413749 + ... + 3426251.

It is an arithmetic number, because the mean of its divisors is an integer number (444335892).

Almost surely, 2^42760260000 is an apocalyptic number.

42760260000 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 42760260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79980460560).

42760260000 is an abundant number, since it is smaller than the sum of its proper divisors (117200661120).

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

42760260000 is a wasteful number, since it uses less digits than its factorization.

42760260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12558 (or 12532 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 42760260000 its reverse (6206724), we get a palindrome (42766466724).

The spelling of 42760260000 in words is "forty-two billion, seven hundred sixty million, two hundred sixty thousand".