427414527360 has 1152 divisors, whose sum is σ = 1690702191360. Its totient is φ = 102971658240.

The previous prime is 427414527277. The next prime is 427414527389. The reversal of 427414527360 is 63725414724.

427414527360 is a `hidden beast` number, since 4 + 2 + 74 + 1 + 452 + 73 + 60 = 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 (45).

It is a congruent number.

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, 1291282395 + ... + 1291282725.

It is an arithmetic number, because the mean of its divisors is an integer number (1467623430).

Almost surely, 2^427414527360 is an apocalyptic number.

427414527360 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 427414527360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845351095680).

427414527360 is an abundant number, since it is smaller than the sum of its proper divisors (1263287664000).

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

427414527360 is a wasteful number, since it uses less digits than its factorization.

427414527360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 427414527360 in words is "four hundred twenty-seven billion, four hundred fourteen million, five hundred twenty-seven thousand, three hundred sixty".