427161556800 has 2688 divisors, whose sum is σ = 1991958220800. Its totient is φ = 88318771200.

The previous prime is 427161556793. The next prime is 427161556807. The reversal of 427161556800 is 8655161724.

427161556800 is a `hidden beast` number, since 4 + 2 + 7 + 16 + 1 + 556 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (427161556793) and next prime (427161556807).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427161556807) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18572241589 + ... + 18572241611.

Almost surely, 2^427161556800 is an apocalyptic number.

427161556800 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 427161556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995979110400).

427161556800 is an abundant number, since it is smaller than the sum of its proper divisors (1564796664000).

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

427161556800 is a wasteful number, since it uses less digits than its factorization.

427161556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 427161556800 in words is "four hundred twenty-seven billion, one hundred sixty-one million, five hundred fifty-six thousand, eight hundred".