442032795979776 has 637 divisors, whose sum is σ = 1385572512473059. Its totient is φ = 140937992921088.

The previous prime is 442032795979763. The next prime is 442032795979781. The reversal of 442032795979776 is 677979597230244.

The square root of 442032795979776 is 21024576.

The cubic root of 442032795979776 is 76176.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

442032795979776 is a `hidden beast` number, since 4 + 4 + 203 + 279 + 5 + 9 + 79 + 7 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 442032795979695 and 442032795979704.

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 19218817216501 + ... + 19218817216523.

Almost surely, 2^{442032795979776} is an apocalyptic number.

442032795979776 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

442032795979776 is the 21024576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442032795979776

442032795979776 is an abundant number, since it is smaller than the sum of its proper divisors (943539716493283).

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

442032795979776 is an frugal number, since it uses more digits than its factorization.

442032795979776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 10081895040, while the sum is 81.

442032795979776 divided by its sum of digits (81) gives a square (5457195012096 = 2336064²).

The spelling of 442032795979776 in words is "four hundred forty-two trillion, thirty-two billion, seven hundred ninety-five million, nine hundred seventy-nine thousand, seven hundred seventy-six".