427333789152 has 144 divisors (see below), whose sum is σ = 1279050095232. Its totient is φ = 140318386560.

The previous prime is 427333789151. The next prime is 427333789193. The reversal of 427333789152 is 251987333724.

It is a happy number.

427333789152 is a `hidden beast` number, since 427 + 33 + 37 + 8 + 9 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×427333789152² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427333789151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110877 + ... + 931107.

It is an arithmetic number, because the mean of its divisors is an integer number (8882292328).

Almost surely, 2^427333789152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427333789152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639525047616).

427333789152 is an abundant number, since it is smaller than the sum of its proper divisors (851716306080).

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

427333789152 is an equidigital number, since it uses as much as digits as its factorization.

427333789152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820323 (or 820303 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 427333789152 in words is "four hundred twenty-seven billion, three hundred thirty-three million, seven hundred eighty-nine thousand, one hundred fifty-two".