427471008000 has 288 divisors, whose sum is σ = 1481584995072. Its totient is φ = 109035520000.

The previous prime is 427471007989. The next prime is 427471008011. The reversal of 427471008000 is 800174724.

It is an interprime number because it is at equal distance from previous prime (427471007989) and next prime (427471008011).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2111200 + ... + 2304800.

It is an arithmetic number, because the mean of its divisors is an integer number (5144392344).

Almost surely, 2^427471008000 is an apocalyptic number.

427471008000 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 427471008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740792497536).

427471008000 is an abundant number, since it is smaller than the sum of its proper divisors (1054113987072).

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

427471008000 is a wasteful number, since it uses less digits than its factorization.

427471008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193658 (or 193634 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The spelling of 427471008000 in words is "four hundred twenty-seven billion, four hundred seventy-one million, eight thousand".