427309947120 has 160 divisors (see below), whose sum is σ = 1520181273600. Its totient is φ = 97265479680.

The previous prime is 427309947109. The next prime is 427309947137. The reversal of 427309947120 is 21749903724.

It is a happy number.

427309947120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 427309947120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122820 + ... + 932579.

It is an arithmetic number, because the mean of its divisors is an integer number (9501132960).

Almost surely, 2^427309947120 is an apocalyptic number.

427309947120 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 427309947120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760090636800).

427309947120 is an abundant number, since it is smaller than the sum of its proper divisors (1092871326480).

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

427309947120 is a wasteful number, since it uses less digits than its factorization.

427309947120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055663 (or 1055657 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 427309947120 in words is "four hundred twenty-seven billion, three hundred nine million, nine hundred forty-seven thousand, one hundred twenty".