42567638774544 has 405 divisors, whose sum is σ = 134040275621343. Its totient is φ = 13089279400704.

The previous prime is 42567638774537. The next prime is 42567638774579. The reversal of 42567638774544 is 44547783676524.

The square root of 42567638774544 is 6524388.

It is a perfect power (a square), and thus also a powerful number.

42567638774544 is a `hidden beast` number, since 4 + 2 + 5 + 6 + 7 + 6 + 3 + 8 + 7 + 74 + 544 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11828509347600 + 30739129426944 = 3439260^2 + 5544288^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 27480721482 + ... + 27480723030.

Almost surely, 2^{42567638774544} is an apocalyptic number.

42567638774544 is the 6524388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42567638774544

42567638774544 is an abundant number, since it is smaller than the sum of its proper divisors (91472636846799).

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

42567638774544 is an frugal number, since it uses more digits than its factorization.

42567638774544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 1567 counting only the distinct ones).

The product of its digits is 3793305600, while the sum is 72.

The spelling of 42567638774544 in words is "forty-two trillion, five hundred sixty-seven billion, six hundred thirty-eight million, seven hundred seventy-four thousand, five hundred forty-four".