427088310432000 has 4608 divisors, whose sum is σ = 1832085405696000. Its totient is φ = 88031784960000.

The previous prime is 427088310431911. The next prime is 427088310432131. The reversal of 427088310432000 is 234013880724.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 7001447711970 + ... + 7001447712030.

Almost surely, 2^{427088310432000} is an apocalyptic number.

427088310432000 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 427088310432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916042702848000).

427088310432000 is an abundant number, since it is smaller than the sum of its proper divisors (1404997095264000).

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

427088310432000 is an frugal number, since it uses more digits than its factorization.

427088310432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 427088310432000 in words is "four hundred twenty-seven trillion, eighty-eight billion, three hundred ten million, four hundred thirty-two thousand".