427977640000 has 105 divisors (see below), whose sum is σ = 1061569994331. Its totient is φ = 171138720000.

The previous prime is 427977639961. The next prime is 427977640009. The reversal of 427977640000 is 46779724.

The square root of 427977640000 is 654200.

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

It can be written as a sum of positive squares in 2 ways, for example, as 33553446976 + 394424193024 = 183176^2 + 628032^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (427977640009) 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, 130838365 + ... + 130841635.

Almost surely, 2^427977640000 is an apocalyptic number.

427977640000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

427977640000 is the 654200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427977640000

427977640000 is an abundant number, since it is smaller than the sum of its proper divisors (633592354331).

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

427977640000 is an frugal number, since it uses more digits than its factorization.

427977640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6574 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 46.

The spelling of 427977640000 in words is "four hundred twenty-seven billion, nine hundred seventy-seven million, six hundred forty thousand".