427177148160 has 144 divisors (see below), whose sum is σ = 1559196688896. Its totient is φ = 97640484864.

The previous prime is 427177148149. The next prime is 427177148161. The reversal of 427177148160 is 61841771724.

It is a super-2 number, since 2×427177148160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427177148161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7919124 + ... + 7972883.

It is an arithmetic number, because the mean of its divisors is an integer number (10827754784).

Almost surely, 2^427177148160 is an apocalyptic number.

427177148160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427177148160 is an abundant number, since it is smaller than the sum of its proper divisors (1132019540736).

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

427177148160 is a wasteful number, since it uses less digits than its factorization.

427177148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15892038 (or 15892024 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 48.

The spelling of 427177148160 in words is "four hundred twenty-seven billion, one hundred seventy-seven million, one hundred forty-eight thousand, one hundred sixty".