41772819456 has 99 divisors (see below), whose sum is σ = 120674791081. Its totient is φ = 13917732864.

The previous prime is 41772819427. The next prime is 41772819461. The reversal of 41772819456 is 65491827714.

The square root of 41772819456 is 204384.

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

41772819456 is a `hidden beast` number, since 4 + 177 + 2 + 8 + 19 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10571129856 + 31201689600 = 102816^2 + 176640^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19619800 + ... + 19621928.

Almost surely, 2^41772819456 is an apocalyptic number.

41772819456 is the 204384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41772819456

41772819456 is an abundant number, since it is smaller than the sum of its proper divisors (78901971625).

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

41772819456 is an frugal number, since it uses more digits than its factorization.

41772819456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4284 (or 2134 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 41772819456 in words is "forty-one billion, seven hundred seventy-two million, eight hundred nineteen thousand, four hundred fifty-six".