427035077200 has 120 divisors (see below), whose sum is σ = 1034345672640. Its totient is φ = 169418956800.

The previous prime is 427035077179. The next prime is 427035077207. The reversal of 427035077200 is 2770530724.

It is a self number, because there is not a number n which added to its sum of digits gives 427035077200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427035077207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67662045 + ... + 67668355.

It is an arithmetic number, because the mean of its divisors is an integer number (8619547272).

Almost surely, 2^427035077200 is an apocalyptic number.

427035077200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427035077200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517172836320).

427035077200 is an abundant number, since it is smaller than the sum of its proper divisors (607310595440).

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

427035077200 is a wasteful number, since it uses less digits than its factorization.

427035077200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7685 (or 7674 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 37.

The spelling of 427035077200 in words is "four hundred twenty-seven billion, thirty-five million, seventy-seven thousand, two hundred".