42412774167360 has 448 divisors, whose sum is σ = 150936057792000. Its totient is φ = 11211196760064.

The previous prime is 42412774167353. The next prime is 42412774167367. The reversal of 42412774167360 is 6376147721424.

42412774167360 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 277 + 4 + 1 + 6 + 7 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (42412774167353) and next prime (42412774167367).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42412774167297 and 42412774167306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42412774167367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 503678541 + ... + 503762739.

Almost surely, 2^{42412774167360} is an apocalyptic number.

42412774167360 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 42412774167360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75468028896000).

42412774167360 is an abundant number, since it is smaller than the sum of its proper divisors (108523283624640).

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

42412774167360 is a wasteful number, since it uses less digits than its factorization.

42412774167360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84735 (or 84719 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 42412774167360 in words is "forty-two trillion, four hundred twelve billion, seven hundred seventy-four million, one hundred sixty-seven thousand, three hundred sixty".