427838423040 has 1200 divisors, whose sum is σ = 1793488376064. Its totient is φ = 95551488000.

The previous prime is 427838423027. The next prime is 427838423057. The reversal of 427838423040 is 40324838724.

427838423040 is a `hidden beast` number, since 4 + 278 + 38 + 42 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2833366965 + ... + 2833367115.

Almost surely, 2^427838423040 is an apocalyptic number.

427838423040 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 427838423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896744188032).

427838423040 is an abundant number, since it is smaller than the sum of its proper divisors (1365649953024).

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

427838423040 is an equidigital number, since it uses as much as digits as its factorization.

427838423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 427838423040 in words is "four hundred twenty-seven billion, eight hundred thirty-eight million, four hundred twenty-three thousand, forty".