427024800000 has 648 divisors, whose sum is σ = 1554362514432. Its totient is φ = 112734720000.

The previous prime is 427024799939. The next prime is 427024800031. The reversal of 427024800000 is 8420724.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 914399767 + ... + 914400233.

It is an arithmetic number, because the mean of its divisors is an integer number (2398707584).

Almost surely, 2^427024800000 is an apocalyptic number.

427024800000 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 427024800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777181257216).

427024800000 is an abundant number, since it is smaller than the sum of its proper divisors (1127337714432).

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

427024800000 is an equidigital number, since it uses as much as digits as its factorization.

427024800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 427024800000 in words is "four hundred twenty-seven billion, twenty-four million, eight hundred thousand".