42276646272 has 128 divisors (see below), whose sum is σ = 129886767360. Its totient is φ = 11933448192.

The previous prime is 42276646271. The next prime is 42276646301. The reversal of 42276646272 is 27264667224.

42276646272 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 (128).

It is a super-2 number, since 2×42276646272² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42276646271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128358 + ... + 317850.

It is an arithmetic number, because the mean of its divisors is an integer number (1014740370).

Almost surely, 2^42276646272 is an apocalyptic number.

42276646272 is a gapful number since it is divisible by the number (42) 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 42276646272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64943383680).

42276646272 is an abundant number, since it is smaller than the sum of its proper divisors (87610121088).

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

42276646272 is a wasteful number, since it uses less digits than its factorization.

42276646272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189600 (or 189588 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 48.

The spelling of 42276646272 in words is "forty-two billion, two hundred seventy-six million, six hundred forty-six thousand, two hundred seventy-two".