427601432352 has 288 divisors, whose sum is σ = 1237213716480. Its totient is φ = 129109178880.

The previous prime is 427601432347. The next prime is 427601432387. The reversal of 427601432352 is 253234106724.

It is a self number, because there is not a number n which added to its sum of digits gives 427601432352.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73989399 + ... + 73995177.

It is an arithmetic number, because the mean of its divisors is an integer number (4295880960).

Almost surely, 2^427601432352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427601432352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618606858240).

427601432352 is an abundant number, since it is smaller than the sum of its proper divisors (809612284128).

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

427601432352 is a wasteful number, since it uses less digits than its factorization.

427601432352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5916 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 427601432352 in words is "four hundred twenty-seven billion, six hundred one million, four hundred thirty-two thousand, three hundred fifty-two".