427344552960 has 1056 divisors, whose sum is σ = 1622754435456. Its totient is φ = 95079628800.

The previous prime is 427344552953. The next prime is 427344552979. The reversal of 427344552960 is 69255443724.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3262172095 + ... + 3262172225.

It is an arithmetic number, because the mean of its divisors is an integer number (1536699276).

Almost surely, 2^427344552960 is an apocalyptic number.

427344552960 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 427344552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811377217728).

427344552960 is an abundant number, since it is smaller than the sum of its proper divisors (1195409882496).

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

427344552960 is a wasteful number, since it uses less digits than its factorization.

427344552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 427344552960 in words is "four hundred twenty-seven billion, three hundred forty-four million, five hundred fifty-two thousand, nine hundred sixty".