427797351432000 has 2688 divisors, whose sum is σ = 1770435823104000. Its totient is φ = 97643943936000.

The previous prime is 427797351431999. The next prime is 427797351432001. The reversal of 427797351432000 is 234153797724.

427797351432000 is a `hidden beast` number, since 4 + 2 + 7 + 7 + 97 + 3 + 514 + 32 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (427797351431999) and next prime (427797351432001).

It is a super-2 number, since 2×427797351432000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427797351432001) 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, 158502166651 + ... + 158502169349.

Almost surely, 2^{427797351432000} is an apocalyptic number.

427797351432000 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 427797351432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885217911552000).

427797351432000 is an abundant number, since it is smaller than the sum of its proper divisors (1342638471672000).

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

427797351432000 is a wasteful number, since it uses less digits than its factorization.

427797351432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 427797351432000 in words is "four hundred twenty-seven trillion, seven hundred ninety-seven billion, three hundred fifty-one million, four hundred thirty-two thousand".