42478379791936 has 105 divisors (see below), whose sum is σ = 92735535942705. Its totient is φ = 19305486731520.

The previous prime is 42478379791931. The next prime is 42478379791949. The reversal of 42478379791936 is 63919797387424.

The square root of 42478379791936 is 6517544.

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

It can be written as a sum of positive squares in only one way, i.e., 42251560014400 + 226819777536 = 6500120^2 + 476256^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42478379791931) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6308979226 + ... + 6308985958.

Almost surely, 2^{42478379791936} is an apocalyptic number.

42478379791936 is the 6517544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42478379791936

42478379791936 is an abundant number, since it is smaller than the sum of its proper divisors (50257156150769).

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

42478379791936 is an frugal number, since it uses more digits than its factorization.

42478379791936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13522 (or 6746 counting only the distinct ones).

The product of its digits is 3456649728, while the sum is 79.

The spelling of 42478379791936 in words is "forty-two trillion, four hundred seventy-eight billion, three hundred seventy-nine million, seven hundred ninety-one thousand, nine hundred thirty-six".