42774277247724 has 192 divisors, whose sum is σ = 112852776960000. Its totient is φ = 12497223298560.

The previous prime is 42774277247707. The next prime is 42774277247747.

42774277247724 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302522557 + ... + 302663915.

It is an arithmetic number, because the mean of its divisors is an integer number (587774880000).

Almost surely, 2^{42774277247724} is an apocalyptic number.

42774277247724 is a gapful number since it is divisible by the number (44) 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 42774277247724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56426388480000).

42774277247724 is an abundant number, since it is smaller than the sum of its proper divisors (70078499712276).

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

42774277247724 is a wasteful number, since it uses less digits than its factorization.

42774277247724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142108 (or 142106 counting only the distinct ones).

The product of its digits is 481890304, while the sum is 66.

The spelling of 42774277247724 in words is "forty-two trillion, seven hundred seventy-four billion, two hundred seventy-seven million, two hundred forty-seven thousand, seven hundred twenty-four".