42776274100 has 144 divisors (see below), whose sum is σ = 107097395328. Its totient is φ = 14526927360.

The previous prime is 42776274091. The next prime is 42776274109. The reversal of 42776274100 is 147267724.

42776274100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42776274091) and next prime (42776274109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42776274109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45169827 + ... + 45170773.

It is an arithmetic number, because the mean of its divisors is an integer number (743731912).

Almost surely, 2^42776274100 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 42776274100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53548697664).

42776274100 is an abundant number, since it is smaller than the sum of its proper divisors (64321121228).

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

42776274100 is a wasteful number, since it uses less digits than its factorization.

42776274100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 40.

The spelling of 42776274100 in words is "forty-two billion, seven hundred seventy-six million, two hundred seventy-four thousand, one hundred".