42266276000 has 192 divisors, whose sum is σ = 112877724960. Its totient is φ = 15460761600.

The previous prime is 42266275999. The next prime is 42266276009. The reversal of 42266276000 is 67266224.

It can be written as a sum of positive squares in 16 ways, for example, as 6682735504 + 35583540496 = 81748^2 + 188636^2 .

It is not an unprimeable number, because it can be changed into a prime (42266276009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5664272 + ... + 5671728.

Almost surely, 2^42266276000 is an apocalyptic number.

42266276000 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 42266276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56438862480).

42266276000 is an abundant number, since it is smaller than the sum of its proper divisors (70611448960).

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

42266276000 is a wasteful number, since it uses less digits than its factorization.

42266276000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7604 (or 7586 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 42266276000 in words is "forty-two billion, two hundred sixty-six million, two hundred seventy-six thousand".