427407700320 has 144 divisors (see below), whose sum is σ = 1459375090992. Its totient is φ = 113909253120.

The previous prime is 427407700303. The next prime is 427407700333. The reversal of 427407700320 is 23007704724.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2421799 + ... + 2592281.

It is an arithmetic number, because the mean of its divisors is an integer number (10134549243).

Almost surely, 2^427407700320 is an apocalyptic number.

427407700320 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 427407700320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729687545496).

427407700320 is an abundant number, since it is smaller than the sum of its proper divisors (1031967390672).

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

427407700320 is a wasteful number, since it uses less digits than its factorization.

427407700320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172245 (or 172234 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The spelling of 427407700320 in words is "four hundred twenty-seven billion, four hundred seven million, seven hundred thousand, three hundred twenty".