42894430779456 has 189 divisors, whose sum is σ = 124842242964621. Its totient is φ = 14081280390144.

The previous prime is 42894430779341. The next prime is 42894430779481. The reversal of 42894430779456 is 65497703449824.

The square root of 42894430779456 is 6549384.

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

42894430779456 is a `hidden beast` number, since 4 + 2 + 89 + 4 + 430 + 7 + 79 + 45 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4608235022400 + 38286195757056 = 2146680^2 + 6187584^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 26 ways as a sum of consecutive naturals, for example, 10531407436 + ... + 10531411508.

Almost surely, 2^{42894430779456} is an apocalyptic number.

42894430779456 is the 6549384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42894430779456

42894430779456 is an abundant number, since it is smaller than the sum of its proper divisors (81947812185165).

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

42894430779456 is an frugal number, since it uses more digits than its factorization.

42894430779456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8298 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 42894430779456 in words is "forty-two trillion, eight hundred ninety-four billion, four hundred thirty million, seven hundred seventy-nine thousand, four hundred fifty-six".