427021776000 has 1152 divisors, whose sum is σ = 1686687275520. Its totient is φ = 103403520000.

The previous prime is 427021775959. The next prime is 427021776043. The reversal of 427021776000 is 677120724.

It is a happy number.

427021776000 is a `hidden beast` number, since 4 + 27 + 0 + 21 + 7 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1290095835 + ... + 1290096165.

It is an arithmetic number, because the mean of its divisors is an integer number (1464138260).

Almost surely, 2^427021776000 is an apocalyptic number.

427021776000 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 427021776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843343637760).

427021776000 is an abundant number, since it is smaller than the sum of its proper divisors (1259665499520).

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

427021776000 is a wasteful number, since it uses less digits than its factorization.

427021776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

Adding to 427021776000 its reverse (677120724), we get a palindrome (427698896724).

It can be divided in two parts, 427021 and 776000, that added together give a palindrome (1203021).

The spelling of 427021776000 in words is "four hundred twenty-seven billion, twenty-one million, seven hundred seventy-six thousand".