427000409472 has 256 divisors, whose sum is σ = 1398763699200. Its totient is φ = 112389562368.

The previous prime is 427000409449. The next prime is 427000409477. The reversal of 427000409472 is 274904000724.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 427000409472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427000409477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17774493 + ... + 17798499.

It is an arithmetic number, because the mean of its divisors is an integer number (5463920700).

Almost surely, 2^427000409472 is an apocalyptic number.

427000409472 is a gapful number since it is divisible by the number (42) 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 427000409472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699381849600).

427000409472 is an abundant number, since it is smaller than the sum of its proper divisors (971763289728).

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

427000409472 is a wasteful number, since it uses less digits than its factorization.

427000409472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24553 (or 24541 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 427000409472 in words is "four hundred twenty-seven billion, four hundred nine thousand, four hundred seventy-two".